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Finding the Fourth Proportional to 231,775.56, 347,819.13 and 82,015.20

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Solution

The fourth proportional to 231,775.56, 347,819.13 and 82,015.20 is: 123,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,775.56 : 347,819.13 = 82,015.20 : x
  2. Step 2: Convert to fraction form
    231,775.56/347,819.13 = 82,015.20/x
  3. Step 3: Cross multiply
    231,775.56x = 347,819.13 × 82,015.20
  4. Step 4: Simplify right side
    231,775.56x = 28,526,455,510.78
  5. Step 5: Solve for x
    x = 28,526,455,510.78/231,775.56
  6. Step 6: Final answer
    x = 123,077.93

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1.5x scale

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.