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Finding the Fourth Proportional to 213,249.31, 319,597.85 and 86,742.70

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Solution

The fourth proportional to 213,249.31, 319,597.85 and 86,742.70 is: 130,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,249.31 : 319,597.85 = 86,742.70 : x
  2. Step 2: Convert to fraction form
    213,249.31/319,597.85 = 86,742.70/x
  3. Step 3: Cross multiply
    213,249.31x = 319,597.85 × 86,742.70
  4. Step 4: Simplify right side
    213,249.31x = 27,722,779,841.06
  5. Step 5: Solve for x
    x = 27,722,779,841.06/213,249.31
  6. Step 6: Final answer
    x = 130,001.73

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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.