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Finding the Fourth Proportional to 213,250.82, 319,600.10 and 86,744.21

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Solution

The fourth proportional to 213,250.82, 319,600.10 and 86,744.21 is: 130,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,250.82 : 319,600.10 = 86,744.21 : x
  2. Step 2: Convert to fraction form
    213,250.82/319,600.10 = 86,744.21/x
  3. Step 3: Cross multiply
    213,250.82x = 319,600.10 × 86,744.21
  4. Step 4: Simplify right side
    213,250.82x = 27,723,456,158.70
  5. Step 5: Solve for x
    x = 27,723,456,158.70/213,250.82
  6. Step 6: Final answer
    x = 130,003.99

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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.