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Finding the Fourth Proportional to 77,131, 115,652.22 and 30,358.36

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Solution

The fourth proportional to 77,131, 115,652.22 and 30,358.36 is: 45,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,131 : 115,652.22 = 30,358.36 : x
  2. Step 2: Convert to fraction form
    77,131/115,652.22 = 30,358.36/x
  3. Step 3: Cross multiply
    77,131x = 115,652.22 × 30,358.36
  4. Step 4: Simplify right side
    77,131x = 3,511,011,729.56
  5. Step 5: Solve for x
    x = 3,511,011,729.56/77,131
  6. Step 6: Final answer
    x = 45,520.11

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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.