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Finding the Fourth Proportional to 217,314.90, 325,875.15 and 84,150.90

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Solution

The fourth proportional to 217,314.90, 325,875.15 and 84,150.90 is: 126,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,314.90 : 325,875.15 = 84,150.90 : x
  2. Step 2: Convert to fraction form
    217,314.90/325,875.15 = 84,150.90/x
  3. Step 3: Cross multiply
    217,314.90x = 325,875.15 × 84,150.90
  4. Step 4: Simplify right side
    217,314.90x = 27,422,687,160.14
  5. Step 5: Solve for x
    x = 27,422,687,160.14/217,314.90
  6. Step 6: Final answer
    x = 126,188.71

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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.