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Finding the Fourth Proportional to 101,690.88, 140,177.86 and 71,391.20

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Solution

The fourth proportional to 101,690.88, 140,177.86 and 71,391.20 is: 98,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,690.88 : 140,177.86 = 71,391.20 : x
  2. Step 2: Convert to fraction form
    101,690.88/140,177.86 = 71,391.20/x
  3. Step 3: Cross multiply
    101,690.88x = 140,177.86 × 71,391.20
  4. Step 4: Simplify right side
    101,690.88x = 10,007,465,638.83
  5. Step 5: Solve for x
    x = 10,007,465,638.83/101,690.88
  6. Step 6: Final answer
    x = 98,410.65

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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.