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Finding the Fourth Proportional to 206,679.45, 310,088.17 and 80,323.70

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Solution

The fourth proportional to 206,679.45, 310,088.17 and 80,323.70 is: 120,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,679.45 : 310,088.17 = 80,323.70 : x
  2. Step 2: Convert to fraction form
    206,679.45/310,088.17 = 80,323.70/x
  3. Step 3: Cross multiply
    206,679.45x = 310,088.17 × 80,323.70
  4. Step 4: Simplify right side
    206,679.45x = 24,907,429,140.63
  5. Step 5: Solve for x
    x = 24,907,429,140.63/206,679.45
  6. Step 6: Final answer
    x = 120,512.36

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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.