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Finding the Fourth Proportional to 82, 113.24 and 60.76

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Solution

The fourth proportional to 82, 113.24 and 60.76 is: 83.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 113.24 = 60.76 : x
  2. Step 2: Convert to fraction form
    82/113.24 = 60.76/x
  3. Step 3: Cross multiply
    82x = 113.24 × 60.76
  4. Step 4: Simplify right side
    82x = 6,880.46
  5. Step 5: Solve for x
    x = 6,880.46/82
  6. Step 6: Final answer
    x = 83.91

Related Problems

Find fourth proportional to 41, 56.62 and 30.38
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Double scale
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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.