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Finding the Fourth Proportional to 81,752.40, 122,613.12 and 25,584.03

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Solution

The fourth proportional to 81,752.40, 122,613.12 and 25,584.03 is: 38,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,752.40 : 122,613.12 = 25,584.03 : x
  2. Step 2: Convert to fraction form
    81,752.40/122,613.12 = 25,584.03/x
  3. Step 3: Cross multiply
    81,752.40x = 122,613.12 × 25,584.03
  4. Step 4: Simplify right side
    81,752.40x = 3,136,937,740.47
  5. Step 5: Solve for x
    x = 3,136,937,740.47/81,752.40
  6. Step 6: Final answer
    x = 38,371.20

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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.