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Finding the Fourth Proportional to 149,527.56, 206,347.90 and 81,544.66

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Solution

The fourth proportional to 149,527.56, 206,347.90 and 81,544.66 is: 112,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,527.56 : 206,347.90 = 81,544.66 : x
  2. Step 2: Convert to fraction form
    149,527.56/206,347.90 = 81,544.66/x
  3. Step 3: Cross multiply
    149,527.56x = 206,347.90 × 81,544.66
  4. Step 4: Simplify right side
    149,527.56x = 16,826,569,401.29
  5. Step 5: Solve for x
    x = 16,826,569,401.29/149,527.56
  6. Step 6: Final answer
    x = 112,531.56

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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.