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Finding the Fourth Proportional to 109,301.80, 150,842.10 and 66,847

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Solution

The fourth proportional to 109,301.80, 150,842.10 and 66,847 is: 92,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,301.80 : 150,842.10 = 66,847 : x
  2. Step 2: Convert to fraction form
    109,301.80/150,842.10 = 66,847/x
  3. Step 3: Cross multiply
    109,301.80x = 150,842.10 × 66,847
  4. Step 4: Simplify right side
    109,301.80x = 10,083,341,858.70
  5. Step 5: Solve for x
    x = 10,083,341,858.70/109,301.80
  6. Step 6: Final answer
    x = 92,252.29

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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.