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Finding the Fourth Proportional to 83,223.20, 124,834.80 and 48,231.20

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Solution

The fourth proportional to 83,223.20, 124,834.80 and 48,231.20 is: 72,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,223.20 : 124,834.80 = 48,231.20 : x
  2. Step 2: Convert to fraction form
    83,223.20/124,834.80 = 48,231.20/x
  3. Step 3: Cross multiply
    83,223.20x = 124,834.80 × 48,231.20
  4. Step 4: Simplify right side
    83,223.20x = 6,020,932,205.76
  5. Step 5: Solve for x
    x = 6,020,932,205.76/83,223.20
  6. Step 6: Final answer
    x = 72,346.80

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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.