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Finding the Fourth Proportional to 213,201.73, 319,734.55 and 86,841.73

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Solution

The fourth proportional to 213,201.73, 319,734.55 and 86,841.73 is: 130,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,201.73 : 319,734.55 = 86,841.73 : x
  2. Step 2: Convert to fraction form
    213,201.73/319,734.55 = 86,841.73/x
  3. Step 3: Cross multiply
    213,201.73x = 319,734.55 × 86,841.73
  4. Step 4: Simplify right side
    213,201.73x = 27,766,301,462.77
  5. Step 5: Solve for x
    x = 27,766,301,462.77/213,201.73
  6. Step 6: Final answer
    x = 130,234.88

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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.