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Finding the Fourth Proportional to 57,991.78, 87,021.12 and 31,337.83

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Solution

The fourth proportional to 57,991.78, 87,021.12 and 31,337.83 is: 47,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,991.78 : 87,021.12 = 31,337.83 : x
  2. Step 2: Convert to fraction form
    57,991.78/87,021.12 = 31,337.83/x
  3. Step 3: Cross multiply
    57,991.78x = 87,021.12 × 31,337.83
  4. Step 4: Simplify right side
    57,991.78x = 2,727,053,064.97
  5. Step 5: Solve for x
    x = 2,727,053,064.97/57,991.78
  6. Step 6: Final answer
    x = 47,024.82

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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.