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Finding the Fourth Proportional to 217,671.06, 326,309.49 and 77,396.88

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Solution

The fourth proportional to 217,671.06, 326,309.49 and 77,396.88 is: 116,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,671.06 : 326,309.49 = 77,396.88 : x
  2. Step 2: Convert to fraction form
    217,671.06/326,309.49 = 77,396.88/x
  3. Step 3: Cross multiply
    217,671.06x = 326,309.49 × 77,396.88
  4. Step 4: Simplify right side
    217,671.06x = 25,255,336,440.39
  5. Step 5: Solve for x
    x = 25,255,336,440.39/217,671.06
  6. Step 6: Final answer
    x = 116,025.24

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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.