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Finding the Fourth Proportional to 101,314.80, 151,972.20 and 81,631.80

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Solution

The fourth proportional to 101,314.80, 151,972.20 and 81,631.80 is: 122,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,314.80 : 151,972.20 = 81,631.80 : x
  2. Step 2: Convert to fraction form
    101,314.80/151,972.20 = 81,631.80/x
  3. Step 3: Cross multiply
    101,314.80x = 151,972.20 × 81,631.80
  4. Step 4: Simplify right side
    101,314.80x = 12,405,764,235.96
  5. Step 5: Solve for x
    x = 12,405,764,235.96/101,314.80
  6. Step 6: Final answer
    x = 122,447.70

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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.