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Finding the Fourth Proportional to 122,138.40, 183,207.60 and 92,200.80

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Solution

The fourth proportional to 122,138.40, 183,207.60 and 92,200.80 is: 138,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,138.40 : 183,207.60 = 92,200.80 : x
  2. Step 2: Convert to fraction form
    122,138.40/183,207.60 = 92,200.80/x
  3. Step 3: Cross multiply
    122,138.40x = 183,207.60 × 92,200.80
  4. Step 4: Simplify right side
    122,138.40x = 16,891,887,286.08
  5. Step 5: Solve for x
    x = 16,891,887,286.08/122,138.40
  6. Step 6: Final answer
    x = 138,301.20

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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.