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Finding the Fourth Proportional to 100,689.81, 151,013.43 and 29,593.15

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Solution

The fourth proportional to 100,689.81, 151,013.43 and 29,593.15 is: 44,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,689.81 : 151,013.43 = 29,593.15 : x
  2. Step 2: Convert to fraction form
    100,689.81/151,013.43 = 29,593.15/x
  3. Step 3: Cross multiply
    100,689.81x = 151,013.43 × 29,593.15
  4. Step 4: Simplify right side
    100,689.81x = 4,468,963,086.00
  5. Step 5: Solve for x
    x = 4,468,963,086.00/100,689.81
  6. Step 6: Final answer
    x = 44,383.47

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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.