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Finding the Fourth Proportional to 144,872.60, 217,017.30 and 100,549.40

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Solution

The fourth proportional to 144,872.60, 217,017.30 and 100,549.40 is: 150,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,872.60 : 217,017.30 = 100,549.40 : x
  2. Step 2: Convert to fraction form
    144,872.60/217,017.30 = 100,549.40/x
  3. Step 3: Cross multiply
    144,872.60x = 217,017.30 × 100,549.40
  4. Step 4: Simplify right side
    144,872.60x = 21,820,959,304.62
  5. Step 5: Solve for x
    x = 21,820,959,304.62/144,872.60
  6. Step 6: Final answer
    x = 150,621.71

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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.