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Finding the Fourth Proportional to 83,072.48, 124,608.80 and 20,742.88

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Solution

The fourth proportional to 83,072.48, 124,608.80 and 20,742.88 is: 31,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,072.48 : 124,608.80 = 20,742.88 : x
  2. Step 2: Convert to fraction form
    83,072.48/124,608.80 = 20,742.88/x
  3. Step 3: Cross multiply
    83,072.48x = 124,608.80 × 20,742.88
  4. Step 4: Simplify right side
    83,072.48x = 2,584,745,385.34
  5. Step 5: Solve for x
    x = 2,584,745,385.34/83,072.48
  6. Step 6: Final answer
    x = 31,114.34

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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.