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Finding the Fourth Proportional to 205,300.40, 308,123.40 and 100,209.20

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Solution

The fourth proportional to 205,300.40, 308,123.40 and 100,209.20 is: 150,398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,300.40 : 308,123.40 = 100,209.20 : x
  2. Step 2: Convert to fraction form
    205,300.40/308,123.40 = 100,209.20/x
  3. Step 3: Cross multiply
    205,300.40x = 308,123.40 × 100,209.20
  4. Step 4: Simplify right side
    205,300.40x = 30,876,799,415.28
  5. Step 5: Solve for x
    x = 30,876,799,415.28/205,300.40
  6. Step 6: Final answer
    x = 150,398.15

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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.