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Finding the Fourth Proportional to 217,785.78, 326,724.84 and 77,544

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Solution

The fourth proportional to 217,785.78, 326,724.84 and 77,544 is: 116,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,785.78 : 326,724.84 = 77,544 : x
  2. Step 2: Convert to fraction form
    217,785.78/326,724.84 = 77,544/x
  3. Step 3: Cross multiply
    217,785.78x = 326,724.84 × 77,544
  4. Step 4: Simplify right side
    217,785.78x = 25,335,550,992.96
  5. Step 5: Solve for x
    x = 25,335,550,992.96/217,785.78
  6. Step 6: Final answer
    x = 116,332.44

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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.