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Finding the Fourth Proportional to 71,712.60, 107,598.33 and 31,710.48

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Solution

The fourth proportional to 71,712.60, 107,598.33 and 31,710.48 is: 47,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,712.60 : 107,598.33 = 31,710.48 : x
  2. Step 2: Convert to fraction form
    71,712.60/107,598.33 = 31,710.48/x
  3. Step 3: Cross multiply
    71,712.60x = 107,598.33 × 31,710.48
  4. Step 4: Simplify right side
    71,712.60x = 3,411,994,691.50
  5. Step 5: Solve for x
    x = 3,411,994,691.50/71,712.60
  6. Step 6: Final answer
    x = 47,578.73

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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.