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Finding the Fourth Proportional to 78,498.54, 117,753.21 and 25,944.93

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Solution

The fourth proportional to 78,498.54, 117,753.21 and 25,944.93 is: 38,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,498.54 : 117,753.21 = 25,944.93 : x
  2. Step 2: Convert to fraction form
    78,498.54/117,753.21 = 25,944.93/x
  3. Step 3: Cross multiply
    78,498.54x = 117,753.21 × 25,944.93
  4. Step 4: Simplify right side
    78,498.54x = 3,055,098,790.73
  5. Step 5: Solve for x
    x = 3,055,098,790.73/78,498.54
  6. Step 6: Final answer
    x = 38,919.18

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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.