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Finding the Fourth Proportional to 137,967.78, 206,951.16 and 38,127.78

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Solution

The fourth proportional to 137,967.78, 206,951.16 and 38,127.78 is: 57,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,967.78 : 206,951.16 = 38,127.78 : x
  2. Step 2: Convert to fraction form
    137,967.78/206,951.16 = 38,127.78/x
  3. Step 3: Cross multiply
    137,967.78x = 206,951.16 × 38,127.78
  4. Step 4: Simplify right side
    137,967.78x = 7,890,588,299.22
  5. Step 5: Solve for x
    x = 7,890,588,299.22/137,967.78
  6. Step 6: Final answer
    x = 57,191.53

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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.