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Finding the Fourth Proportional to 206,620.80, 309,412.80 and 136,118.40

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Solution

The fourth proportional to 206,620.80, 309,412.80 and 136,118.40 is: 203,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,620.80 : 309,412.80 = 136,118.40 : x
  2. Step 2: Convert to fraction form
    206,620.80/309,412.80 = 136,118.40/x
  3. Step 3: Cross multiply
    206,620.80x = 309,412.80 × 136,118.40
  4. Step 4: Simplify right side
    206,620.80x = 42,116,775,275.52
  5. Step 5: Solve for x
    x = 42,116,775,275.52/206,620.80
  6. Step 6: Final answer
    x = 203,836.09

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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.