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Finding the Fourth Proportional to 83,114.40, 124,671.60 and 20,784.90

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Solution

The fourth proportional to 83,114.40, 124,671.60 and 20,784.90 is: 31,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,114.40 : 124,671.60 = 20,784.90 : x
  2. Step 2: Convert to fraction form
    83,114.40/124,671.60 = 20,784.90/x
  3. Step 3: Cross multiply
    83,114.40x = 124,671.60 × 20,784.90
  4. Step 4: Simplify right side
    83,114.40x = 2,591,286,738.84
  5. Step 5: Solve for x
    x = 2,591,286,738.84/83,114.40
  6. Step 6: Final answer
    x = 31,177.35

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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.