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Finding the Fourth Proportional to 83,021.20, 124,531.80 and 76,022.80

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Solution

The fourth proportional to 83,021.20, 124,531.80 and 76,022.80 is: 114,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,021.20 : 124,531.80 = 76,022.80 : x
  2. Step 2: Convert to fraction form
    83,021.20/124,531.80 = 76,022.80/x
  3. Step 3: Cross multiply
    83,021.20x = 124,531.80 × 76,022.80
  4. Step 4: Simplify right side
    83,021.20x = 9,467,256,125.04
  5. Step 5: Solve for x
    x = 9,467,256,125.04/83,021.20
  6. Step 6: Final answer
    x = 114,034.20

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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.