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Finding the Fourth Proportional to 83,126.52, 124,718.94 and 36,412.20

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Solution

The fourth proportional to 83,126.52, 124,718.94 and 36,412.20 is: 54,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,126.52 : 124,718.94 = 36,412.20 : x
  2. Step 2: Convert to fraction form
    83,126.52/124,718.94 = 36,412.20/x
  3. Step 3: Cross multiply
    83,126.52x = 124,718.94 × 36,412.20
  4. Step 4: Simplify right side
    83,126.52x = 4,541,290,987.07
  5. Step 5: Solve for x
    x = 4,541,290,987.07/83,126.52
  6. Step 6: Final answer
    x = 54,631.07

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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.