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Finding the Fourth Proportional to 71,957.47, 107,960.10 and 31,970.89

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Solution

The fourth proportional to 71,957.47, 107,960.10 and 31,970.89 is: 47,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,957.47 : 107,960.10 = 31,970.89 : x
  2. Step 2: Convert to fraction form
    71,957.47/107,960.10 = 31,970.89/x
  3. Step 3: Cross multiply
    71,957.47x = 107,960.10 × 31,970.89
  4. Step 4: Simplify right side
    71,957.47x = 3,451,579,941.69
  5. Step 5: Solve for x
    x = 3,451,579,941.69/71,957.47
  6. Step 6: Final answer
    x = 47,966.95

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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.