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Finding the Fourth Proportional to 213,145.20, 319,600.24 and 86,753

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Solution

The fourth proportional to 213,145.20, 319,600.24 and 86,753 is: 130,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,145.20 : 319,600.24 = 86,753 : x
  2. Step 2: Convert to fraction form
    213,145.20/319,600.24 = 86,753/x
  3. Step 3: Cross multiply
    213,145.20x = 319,600.24 × 86,753
  4. Step 4: Simplify right side
    213,145.20x = 27,726,279,620.72
  5. Step 5: Solve for x
    x = 27,726,279,620.72/213,145.20
  6. Step 6: Final answer
    x = 130,081.65

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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.