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Finding the Fourth Proportional to 137,871.28, 206,984.02 and 106,301.38

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Solution

The fourth proportional to 137,871.28, 206,984.02 and 106,301.38 is: 159,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,871.28 : 206,984.02 = 106,301.38 : x
  2. Step 2: Convert to fraction form
    137,871.28/206,984.02 = 106,301.38/x
  3. Step 3: Cross multiply
    137,871.28x = 206,984.02 × 106,301.38
  4. Step 4: Simplify right side
    137,871.28x = 22,002,686,963.95
  5. Step 5: Solve for x
    x = 22,002,686,963.95/137,871.28
  6. Step 6: Final answer
    x = 159,588.62

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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.