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Finding the Fourth Proportional to 229,809.40, 344,715.84 and 80,049.45

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Solution

The fourth proportional to 229,809.40, 344,715.84 and 80,049.45 is: 120,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,809.40 : 344,715.84 = 80,049.45 : x
  2. Step 2: Convert to fraction form
    229,809.40/344,715.84 = 80,049.45/x
  3. Step 3: Cross multiply
    229,809.40x = 344,715.84 × 80,049.45
  4. Step 4: Simplify right side
    229,809.40x = 27,594,314,512.36
  5. Step 5: Solve for x
    x = 27,594,314,512.36/229,809.40
  6. Step 6: Final answer
    x = 120,074.78

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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.