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Finding the Fourth Proportional to 203,722.68, 305,689.10 and 91,481

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Solution

The fourth proportional to 203,722.68, 305,689.10 and 91,481 is: 137,268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,722.68 : 305,689.10 = 91,481 : x
  2. Step 2: Convert to fraction form
    203,722.68/305,689.10 = 91,481/x
  3. Step 3: Cross multiply
    203,722.68x = 305,689.10 × 91,481
  4. Step 4: Simplify right side
    203,722.68x = 27,964,744,557.10
  5. Step 5: Solve for x
    x = 27,964,744,557.10/203,722.68
  6. Step 6: Final answer
    x = 137,268.69

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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.