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Finding the Fourth Proportional to 78,463.62, 117,764.44 and 42,957.68

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Solution

The fourth proportional to 78,463.62, 117,764.44 and 42,957.68 is: 64,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,463.62 : 117,764.44 = 42,957.68 : x
  2. Step 2: Convert to fraction form
    78,463.62/117,764.44 = 42,957.68/x
  3. Step 3: Cross multiply
    78,463.62x = 117,764.44 × 42,957.68
  4. Step 4: Simplify right side
    78,463.62x = 5,058,886,432.68
  5. Step 5: Solve for x
    x = 5,058,886,432.68/78,463.62
  6. Step 6: Final answer
    x = 64,474.29

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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.