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Finding the Fourth Proportional to 80,467.74, 120,765.39 and 42,543.93

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Solution

The fourth proportional to 80,467.74, 120,765.39 and 42,543.93 is: 63,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,467.74 : 120,765.39 = 42,543.93 : x
  2. Step 2: Convert to fraction form
    80,467.74/120,765.39 = 42,543.93/x
  3. Step 3: Cross multiply
    80,467.74x = 120,765.39 × 42,543.93
  4. Step 4: Simplify right side
    80,467.74x = 5,137,834,298.58
  5. Step 5: Solve for x
    x = 5,137,834,298.58/80,467.74
  6. Step 6: Final answer
    x = 63,849.62

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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.