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Finding the Fourth Proportional to 87,289, 120,449.88 and 49,042.46

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Solution

The fourth proportional to 87,289, 120,449.88 and 49,042.46 is: 67,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,289 : 120,449.88 = 49,042.46 : x
  2. Step 2: Convert to fraction form
    87,289/120,449.88 = 49,042.46/x
  3. Step 3: Cross multiply
    87,289x = 120,449.88 × 49,042.46
  4. Step 4: Simplify right side
    87,289x = 5,907,158,421.90
  5. Step 5: Solve for x
    x = 5,907,158,421.90/87,289
  6. Step 6: Final answer
    x = 67,673.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.