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Finding the Fourth Proportional to 78,542.92, 117,280.81 and 76,414.65

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Solution

The fourth proportional to 78,542.92, 117,280.81 and 76,414.65 is: 114,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,542.92 : 117,280.81 = 76,414.65 : x
  2. Step 2: Convert to fraction form
    78,542.92/117,280.81 = 76,414.65/x
  3. Step 3: Cross multiply
    78,542.92x = 117,280.81 × 76,414.65
  4. Step 4: Simplify right side
    78,542.92x = 8,961,972,047.87
  5. Step 5: Solve for x
    x = 8,961,972,047.87/78,542.92
  6. Step 6: Final answer
    x = 114,102.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.