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Finding the Fourth Proportional to 206,830.80, 309,918.15 and 136,628.10

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Solution

The fourth proportional to 206,830.80, 309,918.15 and 136,628.10 is: 204,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,830.80 : 309,918.15 = 136,628.10 : x
  2. Step 2: Convert to fraction form
    206,830.80/309,918.15 = 136,628.10/x
  3. Step 3: Cross multiply
    206,830.80x = 309,918.15 × 136,628.10
  4. Step 4: Simplify right side
    206,830.80x = 42,343,527,990.02
  5. Step 5: Solve for x
    x = 42,343,527,990.02/206,830.80
  6. Step 6: Final answer
    x = 204,725.45

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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.