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Finding the Fourth Proportional to 87,612, 120,904.56 and 47,868

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Solution

The fourth proportional to 87,612, 120,904.56 and 47,868 is: 66,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,612 : 120,904.56 = 47,868 : x
  2. Step 2: Convert to fraction form
    87,612/120,904.56 = 47,868/x
  3. Step 3: Cross multiply
    87,612x = 120,904.56 × 47,868
  4. Step 4: Simplify right side
    87,612x = 5,787,459,478.08
  5. Step 5: Solve for x
    x = 5,787,459,478.08/87,612
  6. Step 6: Final answer
    x = 66,057.84

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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.