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Finding the Fourth Proportional to 213,201.48, 319,734.18 and 86,841.48

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Solution

The fourth proportional to 213,201.48, 319,734.18 and 86,841.48 is: 130,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,201.48 : 319,734.18 = 86,841.48 : x
  2. Step 2: Convert to fraction form
    213,201.48/319,734.18 = 86,841.48/x
  3. Step 3: Cross multiply
    213,201.48x = 319,734.18 × 86,841.48
  4. Step 4: Simplify right side
    213,201.48x = 27,766,189,397.79
  5. Step 5: Solve for x
    x = 27,766,189,397.79/213,201.48
  6. Step 6: Final answer
    x = 130,234.51

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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.