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Finding the Fourth Proportional to 205,097.20, 307,645.80 and 120,770.80

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Solution

The fourth proportional to 205,097.20, 307,645.80 and 120,770.80 is: 181,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,097.20 : 307,645.80 = 120,770.80 : x
  2. Step 2: Convert to fraction form
    205,097.20/307,645.80 = 120,770.80/x
  3. Step 3: Cross multiply
    205,097.20x = 307,645.80 × 120,770.80
  4. Step 4: Simplify right side
    205,097.20x = 37,154,629,382.64
  5. Step 5: Solve for x
    x = 37,154,629,382.64/205,097.20
  6. Step 6: Final answer
    x = 181,156.20

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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.