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Finding the Fourth Proportional to 71,372.52, 107,041.98 and 31,907.88

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Solution

The fourth proportional to 71,372.52, 107,041.98 and 31,907.88 is: 47,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,372.52 : 107,041.98 = 31,907.88 : x
  2. Step 2: Convert to fraction form
    71,372.52/107,041.98 = 31,907.88/x
  3. Step 3: Cross multiply
    71,372.52x = 107,041.98 × 31,907.88
  4. Step 4: Simplify right side
    71,372.52x = 3,415,482,652.80
  5. Step 5: Solve for x
    x = 3,415,482,652.80/71,372.52
  6. Step 6: Final answer
    x = 47,854.31

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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.