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Finding the Fourth Proportional to 57,327.70, 85,944.14 and 21,781.66

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Solution

The fourth proportional to 57,327.70, 85,944.14 and 21,781.66 is: 32,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,327.70 : 85,944.14 = 21,781.66 : x
  2. Step 2: Convert to fraction form
    57,327.70/85,944.14 = 21,781.66/x
  3. Step 3: Cross multiply
    57,327.70x = 85,944.14 × 21,781.66
  4. Step 4: Simplify right side
    57,327.70x = 1,872,006,036.47
  5. Step 5: Solve for x
    x = 1,872,006,036.47/57,327.70
  6. Step 6: Final answer
    x = 32,654.48

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1.5x scale

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.