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Finding the Fourth Proportional to 70,610.22, 105,929.92 and 20,691.95

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Solution

The fourth proportional to 70,610.22, 105,929.92 and 20,691.95 is: 31,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,610.22 : 105,929.92 = 20,691.95 : x
  2. Step 2: Convert to fraction form
    70,610.22/105,929.92 = 20,691.95/x
  3. Step 3: Cross multiply
    70,610.22x = 105,929.92 × 20,691.95
  4. Step 4: Simplify right side
    70,610.22x = 2,191,896,385.20
  5. Step 5: Solve for x
    x = 2,191,896,385.20/70,610.22
  6. Step 6: Final answer
    x = 31,042.20

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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.