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Finding the Fourth Proportional to 149,454.40, 206,244.40 and 81,471.96

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Solution

The fourth proportional to 149,454.40, 206,244.40 and 81,471.96 is: 112,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,454.40 : 206,244.40 = 81,471.96 : x
  2. Step 2: Convert to fraction form
    149,454.40/206,244.40 = 81,471.96/x
  3. Step 3: Cross multiply
    149,454.40x = 206,244.40 × 81,471.96
  4. Step 4: Simplify right side
    149,454.40x = 16,803,135,507.02
  5. Step 5: Solve for x
    x = 16,803,135,507.02/149,454.40
  6. Step 6: Final answer
    x = 112,429.85

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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.