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Finding the Fourth Proportional to 212,680.80, 319,021.20 and 86,320.80

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Solution

The fourth proportional to 212,680.80, 319,021.20 and 86,320.80 is: 129,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,680.80 : 319,021.20 = 86,320.80 : x
  2. Step 2: Convert to fraction form
    212,680.80/319,021.20 = 86,320.80/x
  3. Step 3: Cross multiply
    212,680.80x = 319,021.20 × 86,320.80
  4. Step 4: Simplify right side
    212,680.80x = 27,538,165,200.96
  5. Step 5: Solve for x
    x = 27,538,165,200.96/212,680.80
  6. Step 6: Final answer
    x = 129,481.20

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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.