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Finding the Fourth Proportional to 70,116.74, 105,221.17 and 25,743.92

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Solution

The fourth proportional to 70,116.74, 105,221.17 and 25,743.92 is: 38,632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,116.74 : 105,221.17 = 25,743.92 : x
  2. Step 2: Convert to fraction form
    70,116.74/105,221.17 = 25,743.92/x
  3. Step 3: Cross multiply
    70,116.74x = 105,221.17 × 25,743.92
  4. Step 4: Simplify right side
    70,116.74x = 2,708,805,382.79
  5. Step 5: Solve for x
    x = 2,708,805,382.79/70,116.74
  6. Step 6: Final answer
    x = 38,632.79

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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.