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Finding the Fourth Proportional to 207,164.46, 310,910.70 and 80,865.20

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Solution

The fourth proportional to 207,164.46, 310,910.70 and 80,865.20 is: 121,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,164.46 : 310,910.70 = 80,865.20 : x
  2. Step 2: Convert to fraction form
    207,164.46/310,910.70 = 80,865.20/x
  3. Step 3: Cross multiply
    207,164.46x = 310,910.70 × 80,865.20
  4. Step 4: Simplify right side
    207,164.46x = 25,141,855,937.64
  5. Step 5: Solve for x
    x = 25,141,855,937.64/207,164.46
  6. Step 6: Final answer
    x = 121,361.82

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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.