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Finding the Fourth Proportional to 78,475.59, 117,713.40 and 36,332.61

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Solution

The fourth proportional to 78,475.59, 117,713.40 and 36,332.61 is: 54,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,475.59 : 117,713.40 = 36,332.61 : x
  2. Step 2: Convert to fraction form
    78,475.59/117,713.40 = 36,332.61/x
  3. Step 3: Cross multiply
    78,475.59x = 117,713.40 × 36,332.61
  4. Step 4: Simplify right side
    78,475.59x = 4,276,835,053.97
  5. Step 5: Solve for x
    x = 4,276,835,053.97/78,475.59
  6. Step 6: Final answer
    x = 54,498.92

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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.