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Finding the Fourth Proportional to 101,538, 140,103 and 65,723.04

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Solution

The fourth proportional to 101,538, 140,103 and 65,723.04 is: 90,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538 : 140,103 = 65,723.04 : x
  2. Step 2: Convert to fraction form
    101,538/140,103 = 65,723.04/x
  3. Step 3: Cross multiply
    101,538x = 140,103 × 65,723.04
  4. Step 4: Simplify right side
    101,538x = 9,207,995,073.12
  5. Step 5: Solve for x
    x = 9,207,995,073.12/101,538
  6. Step 6: Final answer
    x = 90,685.21

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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.