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Finding the Fourth Proportional to 83,752.80, 125,629.20 and 36,981.60

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Solution

The fourth proportional to 83,752.80, 125,629.20 and 36,981.60 is: 55,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,752.80 : 125,629.20 = 36,981.60 : x
  2. Step 2: Convert to fraction form
    83,752.80/125,629.20 = 36,981.60/x
  3. Step 3: Cross multiply
    83,752.80x = 125,629.20 × 36,981.60
  4. Step 4: Simplify right side
    83,752.80x = 4,645,968,822.72
  5. Step 5: Solve for x
    x = 4,645,968,822.72/83,752.80
  6. Step 6: Final answer
    x = 55,472.40

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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.