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Finding the Fourth Proportional to 219,217.70, 328,829.12 and 77,067.15

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Solution

The fourth proportional to 219,217.70, 328,829.12 and 77,067.15 is: 115,601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,217.70 : 328,829.12 = 77,067.15 : x
  2. Step 2: Convert to fraction form
    219,217.70/328,829.12 = 77,067.15/x
  3. Step 3: Cross multiply
    219,217.70x = 328,829.12 × 77,067.15
  4. Step 4: Simplify right side
    219,217.70x = 25,341,921,785.96
  5. Step 5: Solve for x
    x = 25,341,921,785.96/219,217.70
  6. Step 6: Final answer
    x = 115,601.62

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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.