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Finding the Fourth Proportional to 78,332.80, 117,422 and 50,172.88

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Solution

The fourth proportional to 78,332.80, 117,422 and 50,172.88 is: 75,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,332.80 : 117,422 = 50,172.88 : x
  2. Step 2: Convert to fraction form
    78,332.80/117,422 = 50,172.88/x
  3. Step 3: Cross multiply
    78,332.80x = 117,422 × 50,172.88
  4. Step 4: Simplify right side
    78,332.80x = 5,891,399,915.36
  5. Step 5: Solve for x
    x = 5,891,399,915.36/78,332.80
  6. Step 6: Final answer
    x = 75,209.87

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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.