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Finding the Fourth Proportional to 137,385.58, 206,018.96 and 47,437.78

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Solution

The fourth proportional to 137,385.58, 206,018.96 and 47,437.78 is: 71,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,385.58 : 206,018.96 = 47,437.78 : x
  2. Step 2: Convert to fraction form
    137,385.58/206,018.96 = 47,437.78/x
  3. Step 3: Cross multiply
    137,385.58x = 206,018.96 × 47,437.78
  4. Step 4: Simplify right side
    137,385.58x = 9,773,082,100.31
  5. Step 5: Solve for x
    x = 9,773,082,100.31/137,385.58
  6. Step 6: Final answer
    x = 71,136.16

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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.