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Finding the Fourth Proportional to 144,839.20, 217,129.20 and 56,063.20

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Solution

The fourth proportional to 144,839.20, 217,129.20 and 56,063.20 is: 84,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,839.20 : 217,129.20 = 56,063.20 : x
  2. Step 2: Convert to fraction form
    144,839.20/217,129.20 = 56,063.20/x
  3. Step 3: Cross multiply
    144,839.20x = 217,129.20 × 56,063.20
  4. Step 4: Simplify right side
    144,839.20x = 12,172,957,765.44
  5. Step 5: Solve for x
    x = 12,172,957,765.44/144,839.20
  6. Step 6: Final answer
    x = 84,044.64

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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.