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Finding the Fourth Proportional to 205,296.40, 308,117.40 and 100,205.20

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Solution

The fourth proportional to 205,296.40, 308,117.40 and 100,205.20 is: 150,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,296.40 : 308,117.40 = 100,205.20 : x
  2. Step 2: Convert to fraction form
    205,296.40/308,117.40 = 100,205.20/x
  3. Step 3: Cross multiply
    205,296.40x = 308,117.40 × 100,205.20
  4. Step 4: Simplify right side
    205,296.40x = 30,874,965,690.48
  5. Step 5: Solve for x
    x = 30,874,965,690.48/205,296.40
  6. Step 6: Final answer
    x = 150,392.14

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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.