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Finding the Fourth Proportional to 83,114.26, 124,671.39 and 20,784.76

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Solution

The fourth proportional to 83,114.26, 124,671.39 and 20,784.76 is: 31,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,114.26 : 124,671.39 = 20,784.76 : x
  2. Step 2: Convert to fraction form
    83,114.26/124,671.39 = 20,784.76/x
  3. Step 3: Cross multiply
    83,114.26x = 124,671.39 × 20,784.76
  4. Step 4: Simplify right side
    83,114.26x = 2,591,264,920.02
  5. Step 5: Solve for x
    x = 2,591,264,920.02/83,114.26
  6. Step 6: Final answer
    x = 31,177.14

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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.