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Finding the Fourth Proportional to 143,097.20, 214,645.80 and 49,602.96

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Solution

The fourth proportional to 143,097.20, 214,645.80 and 49,602.96 is: 74,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,097.20 : 214,645.80 = 49,602.96 : x
  2. Step 2: Convert to fraction form
    143,097.20/214,645.80 = 49,602.96/x
  3. Step 3: Cross multiply
    143,097.20x = 214,645.80 × 49,602.96
  4. Step 4: Simplify right side
    143,097.20x = 10,647,067,031.57
  5. Step 5: Solve for x
    x = 10,647,067,031.57/143,097.20
  6. Step 6: Final answer
    x = 74,404.44

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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.