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Finding the Fourth Proportional to 217,200.56, 325,720.92 and 75,009.66

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Solution

The fourth proportional to 217,200.56, 325,720.92 and 75,009.66 is: 112,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,200.56 : 325,720.92 = 75,009.66 : x
  2. Step 2: Convert to fraction form
    217,200.56/325,720.92 = 75,009.66/x
  3. Step 3: Cross multiply
    217,200.56x = 325,720.92 × 75,009.66
  4. Step 4: Simplify right side
    217,200.56x = 24,432,215,464.09
  5. Step 5: Solve for x
    x = 24,432,215,464.09/217,200.56
  6. Step 6: Final answer
    x = 112,486.89

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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.