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Finding the Fourth Proportional to 78,596.92, 108,463.76 and 42,787.20

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Solution

The fourth proportional to 78,596.92, 108,463.76 and 42,787.20 is: 59,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,596.92 : 108,463.76 = 42,787.20 : x
  2. Step 2: Convert to fraction form
    78,596.92/108,463.76 = 42,787.20/x
  3. Step 3: Cross multiply
    78,596.92x = 108,463.76 × 42,787.20
  4. Step 4: Simplify right side
    78,596.92x = 4,640,860,591.87
  5. Step 5: Solve for x
    x = 4,640,860,591.87/78,596.92
  6. Step 6: Final answer
    x = 59,046.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.