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Finding the Fourth Proportional to 137,716.20, 206,282.70 and 120,220.20

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Solution

The fourth proportional to 137,716.20, 206,282.70 and 120,220.20 is: 180,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,716.20 : 206,282.70 = 120,220.20 : x
  2. Step 2: Convert to fraction form
    137,716.20/206,282.70 = 120,220.20/x
  3. Step 3: Cross multiply
    137,716.20x = 206,282.70 × 120,220.20
  4. Step 4: Simplify right side
    137,716.20x = 24,799,347,450.54
  5. Step 5: Solve for x
    x = 24,799,347,450.54/137,716.20
  6. Step 6: Final answer
    x = 180,075.75

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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.