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Finding the Fourth Proportional to 71,425.86, 107,113.95 and 29,293.98

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Solution

The fourth proportional to 71,425.86, 107,113.95 and 29,293.98 is: 43,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,425.86 : 107,113.95 = 29,293.98 : x
  2. Step 2: Convert to fraction form
    71,425.86/107,113.95 = 29,293.98/x
  3. Step 3: Cross multiply
    71,425.86x = 107,113.95 × 29,293.98
  4. Step 4: Simplify right side
    71,425.86x = 3,137,793,909.02
  5. Step 5: Solve for x
    x = 3,137,793,909.02/71,425.86
  6. Step 6: Final answer
    x = 43,930.78

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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.