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Finding the Fourth Proportional to 77.32, 116.02 and 62.16

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Solution

The fourth proportional to 77.32, 116.02 and 62.16 is: 93.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.32 : 116.02 = 62.16 : x
  2. Step 2: Convert to fraction form
    77.32/116.02 = 62.16/x
  3. Step 3: Cross multiply
    77.32x = 116.02 × 62.16
  4. Step 4: Simplify right side
    77.32x = 7,211.80
  5. Step 5: Solve for x
    x = 7,211.80/77.32
  6. Step 6: Final answer
    x = 93.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.