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Finding the Fourth Proportional to 137,010, 205,549.56 and 38,514

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Solution

The fourth proportional to 137,010, 205,549.56 and 38,514 is: 57,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,010 : 205,549.56 = 38,514 : x
  2. Step 2: Convert to fraction form
    137,010/205,549.56 = 38,514/x
  3. Step 3: Cross multiply
    137,010x = 205,549.56 × 38,514
  4. Step 4: Simplify right side
    137,010x = 7,916,535,753.84
  5. Step 5: Solve for x
    x = 7,916,535,753.84/137,010
  6. Step 6: Final answer
    x = 57,780.71

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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.