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Finding the Fourth Proportional to 101,049.40, 151,902.15 and 71,670.70

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Solution

The fourth proportional to 101,049.40, 151,902.15 and 71,670.70 is: 107,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,049.40 : 151,902.15 = 71,670.70 : x
  2. Step 2: Convert to fraction form
    101,049.40/151,902.15 = 71,670.70/x
  3. Step 3: Cross multiply
    101,049.40x = 151,902.15 × 71,670.70
  4. Step 4: Simplify right side
    101,049.40x = 10,886,933,422.01
  5. Step 5: Solve for x
    x = 10,886,933,422.01/101,049.40
  6. Step 6: Final answer
    x = 107,738.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.