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Finding the Fourth Proportional to 81,148.50, 121,721.27 and 36,722.30

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Solution

The fourth proportional to 81,148.50, 121,721.27 and 36,722.30 is: 55,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,148.50 : 121,721.27 = 36,722.30 : x
  2. Step 2: Convert to fraction form
    81,148.50/121,721.27 = 36,722.30/x
  3. Step 3: Cross multiply
    81,148.50x = 121,721.27 × 36,722.30
  4. Step 4: Simplify right side
    81,148.50x = 4,469,884,201.10
  5. Step 5: Solve for x
    x = 4,469,884,201.10/81,148.50
  6. Step 6: Final answer
    x = 55,082.77

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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.