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Finding the Fourth Proportional to 149,446, 206,236.49 and 89,019.19

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Solution

The fourth proportional to 149,446, 206,236.49 and 89,019.19 is: 122,847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,446 : 206,236.49 = 89,019.19 : x
  2. Step 2: Convert to fraction form
    149,446/206,236.49 = 89,019.19/x
  3. Step 3: Cross multiply
    149,446x = 206,236.49 × 89,019.19
  4. Step 4: Simplify right side
    149,446x = 18,359,005,288.24
  5. Step 5: Solve for x
    x = 18,359,005,288.24/149,446
  6. Step 6: Final answer
    x = 122,847.08

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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.