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Finding the Fourth Proportional to 87,597.75, 120,885.03 and 49,872

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Solution

The fourth proportional to 87,597.75, 120,885.03 and 49,872 is: 68,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,597.75 : 120,885.03 = 49,872 : x
  2. Step 2: Convert to fraction form
    87,597.75/120,885.03 = 49,872/x
  3. Step 3: Cross multiply
    87,597.75x = 120,885.03 × 49,872
  4. Step 4: Simplify right side
    87,597.75x = 6,028,778,216.16
  5. Step 5: Solve for x
    x = 6,028,778,216.16/87,597.75
  6. Step 6: Final answer
    x = 68,823.44

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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.