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Finding the Fourth Proportional to 123,531.20, 185,296.80 and 115,236.80

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Solution

The fourth proportional to 123,531.20, 185,296.80 and 115,236.80 is: 172,855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,531.20 : 185,296.80 = 115,236.80 : x
  2. Step 2: Convert to fraction form
    123,531.20/185,296.80 = 115,236.80/x
  3. Step 3: Cross multiply
    123,531.20x = 185,296.80 × 115,236.80
  4. Step 4: Simplify right side
    123,531.20x = 21,353,010,282.24
  5. Step 5: Solve for x
    x = 21,353,010,282.24/123,531.20
  6. Step 6: Final answer
    x = 172,855.20

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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.