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Finding the Fourth Proportional to 225,990, 338,985 and 78,246

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Solution

The fourth proportional to 225,990, 338,985 and 78,246 is: 117,369

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,990 : 338,985 = 78,246 : x
  2. Step 2: Convert to fraction form
    225,990/338,985 = 78,246/x
  3. Step 3: Cross multiply
    225,990x = 338,985 × 78,246
  4. Step 4: Simplify right side
    225,990x = 26,524,220,310
  5. Step 5: Solve for x
    x = 26,524,220,310/225,990
  6. Step 6: Final answer
    x = 117,369

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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.