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Finding the Fourth Proportional to 225,941, 338,911.50 and 78,197

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Solution

The fourth proportional to 225,941, 338,911.50 and 78,197 is: 117,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,941 : 338,911.50 = 78,197 : x
  2. Step 2: Convert to fraction form
    225,941/338,911.50 = 78,197/x
  3. Step 3: Cross multiply
    225,941x = 338,911.50 × 78,197
  4. Step 4: Simplify right side
    225,941x = 26,501,862,565.50
  5. Step 5: Solve for x
    x = 26,501,862,565.50/225,941
  6. Step 6: Final answer
    x = 117,295.50

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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.