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Finding the Fourth Proportional to 83,138.40, 124,621.20 and 45,640.80

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Solution

The fourth proportional to 83,138.40, 124,621.20 and 45,640.80 is: 68,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,138.40 : 124,621.20 = 45,640.80 : x
  2. Step 2: Convert to fraction form
    83,138.40/124,621.20 = 45,640.80/x
  3. Step 3: Cross multiply
    83,138.40x = 124,621.20 × 45,640.80
  4. Step 4: Simplify right side
    83,138.40x = 5,687,811,264.96
  5. Step 5: Solve for x
    x = 5,687,811,264.96/83,138.40
  6. Step 6: Final answer
    x = 68,413.77

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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.