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Finding the Fourth Proportional to 213,251.78, 319,855.68 and 71,081.66

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Solution

The fourth proportional to 213,251.78, 319,855.68 and 71,081.66 is: 106,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,251.78 : 319,855.68 = 71,081.66 : x
  2. Step 2: Convert to fraction form
    213,251.78/319,855.68 = 71,081.66/x
  3. Step 3: Cross multiply
    213,251.78x = 319,855.68 × 71,081.66
  4. Step 4: Simplify right side
    213,251.78x = 22,735,872,694.83
  5. Step 5: Solve for x
    x = 22,735,872,694.83/213,251.78
  6. Step 6: Final answer
    x = 106,615.16

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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.