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Finding the Fourth Proportional to 213,229.56, 319,845.38 and 86,871.03

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Solution

The fourth proportional to 213,229.56, 319,845.38 and 86,871.03 is: 130,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,229.56 : 319,845.38 = 86,871.03 : x
  2. Step 2: Convert to fraction form
    213,229.56/319,845.38 = 86,871.03/x
  3. Step 3: Cross multiply
    213,229.56x = 319,845.38 × 86,871.03
  4. Step 4: Simplify right side
    213,229.56x = 27,785,298,499.67
  5. Step 5: Solve for x
    x = 27,785,298,499.67/213,229.56
  6. Step 6: Final answer
    x = 130,306.97

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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.