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Finding the Fourth Proportional to 213,229.41, 319,842.48 and 86,839.92

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Solution

The fourth proportional to 213,229.41, 319,842.48 and 86,839.92 is: 130,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,229.41 : 319,842.48 = 86,839.92 : x
  2. Step 2: Convert to fraction form
    213,229.41/319,842.48 = 86,839.92/x
  3. Step 3: Cross multiply
    213,229.41x = 319,842.48 × 86,839.92
  4. Step 4: Simplify right side
    213,229.41x = 27,775,095,375.80
  5. Step 5: Solve for x
    x = 27,775,095,375.80/213,229.41
  6. Step 6: Final answer
    x = 130,259.21

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1.5x scale

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.