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Finding the Fourth Proportional to 159,761.28, 239,459.69 and 99,817.32

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Solution

The fourth proportional to 159,761.28, 239,459.69 and 99,817.32 is: 149,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,761.28 : 239,459.69 = 99,817.32 : x
  2. Step 2: Convert to fraction form
    159,761.28/239,459.69 = 99,817.32/x
  3. Step 3: Cross multiply
    159,761.28x = 239,459.69 × 99,817.32
  4. Step 4: Simplify right side
    159,761.28x = 23,902,223,306.53
  5. Step 5: Solve for x
    x = 23,902,223,306.53/159,761.28
  6. Step 6: Final answer
    x = 149,612.12

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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.