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Finding the Fourth Proportional to 70,610.13, 105,929.78 and 20,691.86

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Solution

The fourth proportional to 70,610.13, 105,929.78 and 20,691.86 is: 31,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,610.13 : 105,929.78 = 20,691.86 : x
  2. Step 2: Convert to fraction form
    70,610.13/105,929.78 = 20,691.86/x
  3. Step 3: Cross multiply
    70,610.13x = 105,929.78 × 20,691.86
  4. Step 4: Simplify right side
    70,610.13x = 2,191,883,544.48
  5. Step 5: Solve for x
    x = 2,191,883,544.48/70,610.13
  6. Step 6: Final answer
    x = 31,042.06

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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.