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Finding the Fourth Proportional to 72,996.48, 109,425.60 and 31,472.64

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Solution

The fourth proportional to 72,996.48, 109,425.60 and 31,472.64 is: 47,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,996.48 : 109,425.60 = 31,472.64 : x
  2. Step 2: Convert to fraction form
    72,996.48/109,425.60 = 31,472.64/x
  3. Step 3: Cross multiply
    72,996.48x = 109,425.60 × 31,472.64
  4. Step 4: Simplify right side
    72,996.48x = 3,443,912,515.58
  5. Step 5: Solve for x
    x = 3,443,912,515.58/72,996.48
  6. Step 6: Final answer
    x = 47,179.16

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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.