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Finding the Fourth Proportional to 72,931.58, 109,251.45 and 57,963.96

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Solution

The fourth proportional to 72,931.58, 109,251.45 and 57,963.96 is: 86,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,931.58 : 109,251.45 = 57,963.96 : x
  2. Step 2: Convert to fraction form
    72,931.58/109,251.45 = 57,963.96/x
  3. Step 3: Cross multiply
    72,931.58x = 109,251.45 × 57,963.96
  4. Step 4: Simplify right side
    72,931.58x = 6,332,646,677.74
  5. Step 5: Solve for x
    x = 6,332,646,677.74/72,931.58
  6. Step 6: Final answer
    x = 86,829.97

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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.