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Finding the Fourth Proportional to 217,894.52, 326,689.32 and 111,311.48

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Solution

The fourth proportional to 217,894.52, 326,689.32 and 111,311.48 is: 166,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,894.52 : 326,689.32 = 111,311.48 : x
  2. Step 2: Convert to fraction form
    217,894.52/326,689.32 = 111,311.48/x
  3. Step 3: Cross multiply
    217,894.52x = 326,689.32 × 111,311.48
  4. Step 4: Simplify right side
    217,894.52x = 36,364,271,709.39
  5. Step 5: Solve for x
    x = 36,364,271,709.39/217,894.52
  6. Step 6: Final answer
    x = 166,889.34

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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.