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Finding the Fourth Proportional to 91,771.23, 126,680.31 and 65,053.38

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Solution

The fourth proportional to 91,771.23, 126,680.31 and 65,053.38 is: 89,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,771.23 : 126,680.31 = 65,053.38 : x
  2. Step 2: Convert to fraction form
    91,771.23/126,680.31 = 65,053.38/x
  3. Step 3: Cross multiply
    91,771.23x = 126,680.31 × 65,053.38
  4. Step 4: Simplify right side
    91,771.23x = 8,240,982,344.95
  5. Step 5: Solve for x
    x = 8,240,982,344.95/91,771.23
  6. Step 6: Final answer
    x = 89,799.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.