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Finding the Fourth Proportional to 205,097.20, 307,645.80 and 185,414.20

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Solution

The fourth proportional to 205,097.20, 307,645.80 and 185,414.20 is: 278,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,097.20 : 307,645.80 = 185,414.20 : x
  2. Step 2: Convert to fraction form
    205,097.20/307,645.80 = 185,414.20/x
  3. Step 3: Cross multiply
    205,097.20x = 307,645.80 × 185,414.20
  4. Step 4: Simplify right side
    205,097.20x = 57,041,899,890.36
  5. Step 5: Solve for x
    x = 57,041,899,890.36/205,097.20
  6. Step 6: Final answer
    x = 278,121.30

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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.