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Finding the Fourth Proportional to 123,532.80, 185,109.84 and 64,387.68

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Solution

The fourth proportional to 123,532.80, 185,109.84 and 64,387.68 is: 96,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,532.80 : 185,109.84 = 64,387.68 : x
  2. Step 2: Convert to fraction form
    123,532.80/185,109.84 = 64,387.68/x
  3. Step 3: Cross multiply
    123,532.80x = 185,109.84 × 64,387.68
  4. Step 4: Simplify right side
    123,532.80x = 11,918,793,142.77
  5. Step 5: Solve for x
    x = 11,918,793,142.77/123,532.80
  6. Step 6: Final answer
    x = 96,482.82

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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.