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Finding the Fourth Proportional to 217,393.72, 326,112.94 and 75,238.74

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Solution

The fourth proportional to 217,393.72, 326,112.94 and 75,238.74 is: 112,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,393.72 : 326,112.94 = 75,238.74 : x
  2. Step 2: Convert to fraction form
    217,393.72/326,112.94 = 75,238.74/x
  3. Step 3: Cross multiply
    217,393.72x = 326,112.94 × 75,238.74
  4. Step 4: Simplify right side
    217,393.72x = 24,536,327,103.07
  5. Step 5: Solve for x
    x = 24,536,327,103.07/217,393.72
  6. Step 6: Final answer
    x = 112,865.85

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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.