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Finding the Fourth Proportional to 82,399, 123,525.20 and 29,796.80

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Solution

The fourth proportional to 82,399, 123,525.20 and 29,796.80 is: 44,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,399 : 123,525.20 = 29,796.80 : x
  2. Step 2: Convert to fraction form
    82,399/123,525.20 = 29,796.80/x
  3. Step 3: Cross multiply
    82,399x = 123,525.20 × 29,796.80
  4. Step 4: Simplify right side
    82,399x = 3,680,655,679.36
  5. Step 5: Solve for x
    x = 3,680,655,679.36/82,399
  6. Step 6: Final answer
    x = 44,668.69

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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.