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Finding the Fourth Proportional to 137,989.17, 206,983.35 and 38,149.11

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Solution

The fourth proportional to 137,989.17, 206,983.35 and 38,149.11 is: 57,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,989.17 : 206,983.35 = 38,149.11 : x
  2. Step 2: Convert to fraction form
    137,989.17/206,983.35 = 38,149.11/x
  3. Step 3: Cross multiply
    137,989.17x = 206,983.35 × 38,149.11
  4. Step 4: Simplify right side
    137,989.17x = 7,896,230,587.32
  5. Step 5: Solve for x
    x = 7,896,230,587.32/137,989.17
  6. Step 6: Final answer
    x = 57,223.55

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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.