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Finding the Fourth Proportional to 57,906.60, 86,714.10 and 38,077.80

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Solution

The fourth proportional to 57,906.60, 86,714.10 and 38,077.80 is: 57,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,906.60 : 86,714.10 = 38,077.80 : x
  2. Step 2: Convert to fraction form
    57,906.60/86,714.10 = 38,077.80/x
  3. Step 3: Cross multiply
    57,906.60x = 86,714.10 × 38,077.80
  4. Step 4: Simplify right side
    57,906.60x = 3,301,882,156.98
  5. Step 5: Solve for x
    x = 3,301,882,156.98/57,906.60
  6. Step 6: Final answer
    x = 57,020.83

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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.