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Finding the Fourth Proportional to 229,894.20, 344,820.78 and 80,109

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Solution

The fourth proportional to 229,894.20, 344,820.78 and 80,109 is: 120,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,894.20 : 344,820.78 = 80,109 : x
  2. Step 2: Convert to fraction form
    229,894.20/344,820.78 = 80,109/x
  3. Step 3: Cross multiply
    229,894.20x = 344,820.78 × 80,109
  4. Step 4: Simplify right side
    229,894.20x = 27,623,247,865.02
  5. Step 5: Solve for x
    x = 27,623,247,865.02/229,894.20
  6. Step 6: Final answer
    x = 120,156.35

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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.