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Finding the Fourth Proportional to 139.65, 192.75 and 96

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Solution

The fourth proportional to 139.65, 192.75 and 96 is: 132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.65 : 192.75 = 96 : x
  2. Step 2: Convert to fraction form
    139.65/192.75 = 96/x
  3. Step 3: Cross multiply
    139.65x = 192.75 × 96
  4. Step 4: Simplify right side
    139.65x = 18,504
  5. Step 5: Solve for x
    x = 18,504/139.65
  6. Step 6: Final answer
    x = 132.50

Related Problems

Find fourth proportional to 69.83, 96.38 and 48
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.