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Finding the Fourth Proportional to 83,104.80, 124,481.70 and 55,038.30

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Solution

The fourth proportional to 83,104.80, 124,481.70 and 55,038.30 is: 82,441.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,104.80 : 124,481.70 = 55,038.30 : x
  2. Step 2: Convert to fraction form
    83,104.80/124,481.70 = 55,038.30/x
  3. Step 3: Cross multiply
    83,104.80x = 124,481.70 × 55,038.30
  4. Step 4: Simplify right side
    83,104.80x = 6,851,261,149.11
  5. Step 5: Solve for x
    x = 6,851,261,149.11/83,104.80
  6. Step 6: Final answer
    x = 82,441.22

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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.