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Finding the Fourth Proportional to 225,992, 338,988 and 78,248

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Solution

The fourth proportional to 225,992, 338,988 and 78,248 is: 117,372

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,992 : 338,988 = 78,248 : x
  2. Step 2: Convert to fraction form
    225,992/338,988 = 78,248/x
  3. Step 3: Cross multiply
    225,992x = 338,988 × 78,248
  4. Step 4: Simplify right side
    225,992x = 26,525,133,024
  5. Step 5: Solve for x
    x = 26,525,133,024/225,992
  6. Step 6: Final answer
    x = 117,372

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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.