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Finding the Fourth Proportional to 82,743.80, 124,115.70 and 54,750.20

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Solution

The fourth proportional to 82,743.80, 124,115.70 and 54,750.20 is: 82,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,743.80 : 124,115.70 = 54,750.20 : x
  2. Step 2: Convert to fraction form
    82,743.80/124,115.70 = 54,750.20/x
  3. Step 3: Cross multiply
    82,743.80x = 124,115.70 × 54,750.20
  4. Step 4: Simplify right side
    82,743.80x = 6,795,359,398.14
  5. Step 5: Solve for x
    x = 6,795,359,398.14/82,743.80
  6. Step 6: Final answer
    x = 82,125.30

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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.