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Finding the Fourth Proportional to 144,578.20, 216,813.42 and 49,781.88

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Solution

The fourth proportional to 144,578.20, 216,813.42 and 49,781.88 is: 74,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,578.20 : 216,813.42 = 49,781.88 : x
  2. Step 2: Convert to fraction form
    144,578.20/216,813.42 = 49,781.88/x
  3. Step 3: Cross multiply
    144,578.20x = 216,813.42 × 49,781.88
  4. Step 4: Simplify right side
    144,578.20x = 10,793,379,656.83
  5. Step 5: Solve for x
    x = 10,793,379,656.83/144,578.20
  6. Step 6: Final answer
    x = 74,654.27

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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.