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Finding the Fourth Proportional to 150,677.64, 207,963.81 and 99,691.38

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Solution

The fourth proportional to 150,677.64, 207,963.81 and 99,691.38 is: 137,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,677.64 : 207,963.81 = 99,691.38 : x
  2. Step 2: Convert to fraction form
    150,677.64/207,963.81 = 99,691.38/x
  3. Step 3: Cross multiply
    150,677.64x = 207,963.81 × 99,691.38
  4. Step 4: Simplify right side
    150,677.64x = 20,732,199,208.96
  5. Step 5: Solve for x
    x = 20,732,199,208.96/150,677.64
  6. Step 6: Final answer
    x = 137,593.07

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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.