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Finding the Fourth Proportional to 101,994.30, 140,713.80 and 75,200.76

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Solution

The fourth proportional to 101,994.30, 140,713.80 and 75,200.76 is: 103,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,994.30 : 140,713.80 = 75,200.76 : x
  2. Step 2: Convert to fraction form
    101,994.30/140,713.80 = 75,200.76/x
  3. Step 3: Cross multiply
    101,994.30x = 140,713.80 × 75,200.76
  4. Step 4: Simplify right side
    101,994.30x = 10,581,784,702.49
  5. Step 5: Solve for x
    x = 10,581,784,702.49/101,994.30
  6. Step 6: Final answer
    x = 103,748.79

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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.