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Finding the Fourth Proportional to 137,937.95, 206,902.82 and 38,104.13

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Solution

The fourth proportional to 137,937.95, 206,902.82 and 38,104.13 is: 57,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,937.95 : 206,902.82 = 38,104.13 : x
  2. Step 2: Convert to fraction form
    137,937.95/206,902.82 = 38,104.13/x
  3. Step 3: Cross multiply
    137,937.95x = 206,902.82 × 38,104.13
  4. Step 4: Simplify right side
    137,937.95x = 7,883,851,950.65
  5. Step 5: Solve for x
    x = 7,883,851,950.65/137,937.95
  6. Step 6: Final answer
    x = 57,155.06

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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.