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Finding the Fourth Proportional to 96.93, 146.07 and 87.30

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Solution

The fourth proportional to 96.93, 146.07 and 87.30 is: 131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.93 : 146.07 = 87.30 : x
  2. Step 2: Convert to fraction form
    96.93/146.07 = 87.30/x
  3. Step 3: Cross multiply
    96.93x = 146.07 × 87.30
  4. Step 4: Simplify right side
    96.93x = 12,751.84
  5. Step 5: Solve for x
    x = 12,751.84/96.93
  6. Step 6: Final answer
    x = 131.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.