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Finding the Fourth Proportional to 80,077.66, 120,042.20 and 37,977.43

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Solution

The fourth proportional to 80,077.66, 120,042.20 and 37,977.43 is: 56,930.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,077.66 : 120,042.20 = 37,977.43 : x
  2. Step 2: Convert to fraction form
    80,077.66/120,042.20 = 37,977.43/x
  3. Step 3: Cross multiply
    80,077.66x = 120,042.20 × 37,977.43
  4. Step 4: Simplify right side
    80,077.66x = 4,558,894,247.55
  5. Step 5: Solve for x
    x = 4,558,894,247.55/80,077.66
  6. Step 6: Final answer
    x = 56,930.91

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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.