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Finding the Fourth Proportional to 137,854.20, 206,781.30 and 54,748.20

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Solution

The fourth proportional to 137,854.20, 206,781.30 and 54,748.20 is: 82,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,854.20 : 206,781.30 = 54,748.20 : x
  2. Step 2: Convert to fraction form
    137,854.20/206,781.30 = 54,748.20/x
  3. Step 3: Cross multiply
    137,854.20x = 206,781.30 × 54,748.20
  4. Step 4: Simplify right side
    137,854.20x = 11,320,903,968.66
  5. Step 5: Solve for x
    x = 11,320,903,968.66/137,854.20
  6. Step 6: Final answer
    x = 82,122.30

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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.