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Finding the Fourth Proportional to 83,977.20, 125,965.80 and 73,042.20

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Solution

The fourth proportional to 83,977.20, 125,965.80 and 73,042.20 is: 109,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,977.20 : 125,965.80 = 73,042.20 : x
  2. Step 2: Convert to fraction form
    83,977.20/125,965.80 = 73,042.20/x
  3. Step 3: Cross multiply
    83,977.20x = 125,965.80 × 73,042.20
  4. Step 4: Simplify right side
    83,977.20x = 9,200,819,156.76
  5. Step 5: Solve for x
    x = 9,200,819,156.76/83,977.20
  6. Step 6: Final answer
    x = 109,563.30

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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.