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Finding the Fourth Proportional to 78,203.92, 117,294 and 25,612.24

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Solution

The fourth proportional to 78,203.92, 117,294 and 25,612.24 is: 38,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,203.92 : 117,294 = 25,612.24 : x
  2. Step 2: Convert to fraction form
    78,203.92/117,294 = 25,612.24/x
  3. Step 3: Cross multiply
    78,203.92x = 117,294 × 25,612.24
  4. Step 4: Simplify right side
    78,203.92x = 3,004,162,078.56
  5. Step 5: Solve for x
    x = 3,004,162,078.56/78,203.92
  6. Step 6: Final answer
    x = 38,414.47

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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.