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Finding the Fourth Proportional to 278,602.16, 417,963.24 and 86,472.59

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Solution

The fourth proportional to 278,602.16, 417,963.24 and 86,472.59 is: 129,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,602.16 : 417,963.24 = 86,472.59 : x
  2. Step 2: Convert to fraction form
    278,602.16/417,963.24 = 86,472.59/x
  3. Step 3: Cross multiply
    278,602.16x = 417,963.24 × 86,472.59
  4. Step 4: Simplify right side
    278,602.16x = 36,142,361,797.78
  5. Step 5: Solve for x
    x = 36,142,361,797.78/278,602.16
  6. Step 6: Final answer
    x = 129,727.50

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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.