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Finding the Fourth Proportional to 137,732.70, 206,253.45 and 90,731.10

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Solution

The fourth proportional to 137,732.70, 206,253.45 and 90,731.10 is: 135,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,732.70 : 206,253.45 = 90,731.10 : x
  2. Step 2: Convert to fraction form
    137,732.70/206,253.45 = 90,731.10/x
  3. Step 3: Cross multiply
    137,732.70x = 206,253.45 × 90,731.10
  4. Step 4: Simplify right side
    137,732.70x = 18,713,602,397.30
  5. Step 5: Solve for x
    x = 18,713,602,397.30/137,732.70
  6. Step 6: Final answer
    x = 135,868.99

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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.