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Finding the Fourth Proportional to 71,955.46, 107,957.09 and 31,968.89

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Solution

The fourth proportional to 71,955.46, 107,957.09 and 31,968.89 is: 47,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,955.46 : 107,957.09 = 31,968.89 : x
  2. Step 2: Convert to fraction form
    71,955.46/107,957.09 = 31,968.89/x
  3. Step 3: Cross multiply
    71,955.46x = 107,957.09 × 31,968.89
  4. Step 4: Simplify right side
    71,955.46x = 3,451,267,875.07
  5. Step 5: Solve for x
    x = 3,451,267,875.07/71,955.46
  6. Step 6: Final answer
    x = 47,963.95

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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.