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Finding the Fourth Proportional to 83,138.56, 124,690 and 23,963.20

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Solution

The fourth proportional to 83,138.56, 124,690 and 23,963.20 is: 35,939.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,138.56 : 124,690 = 23,963.20 : x
  2. Step 2: Convert to fraction form
    83,138.56/124,690 = 23,963.20/x
  3. Step 3: Cross multiply
    83,138.56x = 124,690 × 23,963.20
  4. Step 4: Simplify right side
    83,138.56x = 2,987,971,408
  5. Step 5: Solve for x
    x = 2,987,971,408/83,138.56
  6. Step 6: Final answer
    x = 35,939.66

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1.5x scale

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.