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Finding the Fourth Proportional to 254,585.92, 381,297.57 and 121,559.56

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Solution

The fourth proportional to 254,585.92, 381,297.57 and 121,559.56 is: 182,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,585.92 : 381,297.57 = 121,559.56 : x
  2. Step 2: Convert to fraction form
    254,585.92/381,297.57 = 121,559.56/x
  3. Step 3: Cross multiply
    254,585.92x = 381,297.57 × 121,559.56
  4. Step 4: Simplify right side
    254,585.92x = 46,350,364,838.27
  5. Step 5: Solve for x
    x = 46,350,364,838.27/254,585.92
  6. Step 6: Final answer
    x = 182,061.78

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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.