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Finding the Fourth Proportional to 225,963.69, 338,941.28 and 55,188.15

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Solution

The fourth proportional to 225,963.69, 338,941.28 and 55,188.15 is: 82,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,963.69 : 338,941.28 = 55,188.15 : x
  2. Step 2: Convert to fraction form
    225,963.69/338,941.28 = 55,188.15/x
  3. Step 3: Cross multiply
    225,963.69x = 338,941.28 × 55,188.15
  4. Step 4: Simplify right side
    225,963.69x = 18,705,541,925.89
  5. Step 5: Solve for x
    x = 18,705,541,925.89/225,963.69
  6. Step 6: Final answer
    x = 82,781.18

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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.