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Finding the Fourth Proportional to 101,534.75, 140,098.51 and 65,719.79

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Solution

The fourth proportional to 101,534.75, 140,098.51 and 65,719.79 is: 90,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,534.75 : 140,098.51 = 65,719.79 : x
  2. Step 2: Convert to fraction form
    101,534.75/140,098.51 = 65,719.79/x
  3. Step 3: Cross multiply
    101,534.75x = 140,098.51 × 65,719.79
  4. Step 4: Simplify right side
    101,534.75x = 9,207,244,327.91
  5. Step 5: Solve for x
    x = 9,207,244,327.91/101,534.75
  6. Step 6: Final answer
    x = 90,680.72

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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.