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Finding the Fourth Proportional to 101,693.88, 140,182 and 71,394.20

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Solution

The fourth proportional to 101,693.88, 140,182 and 71,394.20 is: 98,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,693.88 : 140,182 = 71,394.20 : x
  2. Step 2: Convert to fraction form
    101,693.88/140,182 = 71,394.20/x
  3. Step 3: Cross multiply
    101,693.88x = 140,182 × 71,394.20
  4. Step 4: Simplify right side
    101,693.88x = 10,008,181,744.40
  5. Step 5: Solve for x
    x = 10,008,181,744.40/101,693.88
  6. Step 6: Final answer
    x = 98,414.79

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1.5x scale

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.