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Finding the Fourth Proportional to 140,311.80, 210,321.90 and 77,034.60

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Solution

The fourth proportional to 140,311.80, 210,321.90 and 77,034.60 is: 115,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,311.80 : 210,321.90 = 77,034.60 : x
  2. Step 2: Convert to fraction form
    140,311.80/210,321.90 = 77,034.60/x
  3. Step 3: Cross multiply
    140,311.80x = 210,321.90 × 77,034.60
  4. Step 4: Simplify right side
    140,311.80x = 16,202,063,437.74
  5. Step 5: Solve for x
    x = 16,202,063,437.74/140,311.80
  6. Step 6: Final answer
    x = 115,471.85

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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.