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Finding the Fourth Proportional to 83,747.80, 125,427.30 and 81,803.80

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Solution

The fourth proportional to 83,747.80, 125,427.30 and 81,803.80 is: 122,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,747.80 : 125,427.30 = 81,803.80 : x
  2. Step 2: Convert to fraction form
    83,747.80/125,427.30 = 81,803.80/x
  3. Step 3: Cross multiply
    83,747.80x = 125,427.30 × 81,803.80
  4. Step 4: Simplify right side
    83,747.80x = 10,260,429,763.74
  5. Step 5: Solve for x
    x = 10,260,429,763.74/83,747.80
  6. Step 6: Final answer
    x = 122,515.81

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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.