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Finding the Fourth Proportional to 71,871.35, 107,830.85 and 31,884.86

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Solution

The fourth proportional to 71,871.35, 107,830.85 and 31,884.86 is: 47,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,871.35 : 107,830.85 = 31,884.86 : x
  2. Step 2: Convert to fraction form
    71,871.35/107,830.85 = 31,884.86/x
  3. Step 3: Cross multiply
    71,871.35x = 107,830.85 × 31,884.86
  4. Step 4: Simplify right side
    71,871.35x = 3,438,171,666.08
  5. Step 5: Solve for x
    x = 3,438,171,666.08/71,871.35
  6. Step 6: Final answer
    x = 47,837.86

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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.