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Finding the Fourth Proportional to 117,729.60, 176,440.80 and 54,542.40

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Solution

The fourth proportional to 117,729.60, 176,440.80 and 54,542.40 is: 81,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,729.60 : 176,440.80 = 54,542.40 : x
  2. Step 2: Convert to fraction form
    117,729.60/176,440.80 = 54,542.40/x
  3. Step 3: Cross multiply
    117,729.60x = 176,440.80 × 54,542.40
  4. Step 4: Simplify right side
    117,729.60x = 9,623,504,689.92
  5. Step 5: Solve for x
    x = 9,623,504,689.92/117,729.60
  6. Step 6: Final answer
    x = 81,742.44

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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.