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Finding the Fourth Proportional to 71,956.97, 107,959.35 and 31,970.39

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Solution

The fourth proportional to 71,956.97, 107,959.35 and 31,970.39 is: 47,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,956.97 : 107,959.35 = 31,970.39 : x
  2. Step 2: Convert to fraction form
    71,956.97/107,959.35 = 31,970.39/x
  3. Step 3: Cross multiply
    71,956.97x = 107,959.35 × 31,970.39
  4. Step 4: Simplify right side
    71,956.97x = 3,451,501,983.85
  5. Step 5: Solve for x
    x = 3,451,501,983.85/71,956.97
  6. Step 6: Final answer
    x = 47,966.20

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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.