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Finding the Fourth Proportional to 213,286.56, 319,874.16 and 63,486.24

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Solution

The fourth proportional to 213,286.56, 319,874.16 and 63,486.24 is: 95,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,286.56 : 319,874.16 = 63,486.24 : x
  2. Step 2: Convert to fraction form
    213,286.56/319,874.16 = 63,486.24/x
  3. Step 3: Cross multiply
    213,286.56x = 319,874.16 × 63,486.24
  4. Step 4: Simplify right side
    213,286.56x = 20,307,607,691.56
  5. Step 5: Solve for x
    x = 20,307,607,691.56/213,286.56
  6. Step 6: Final answer
    x = 95,212.79

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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.