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Finding the Fourth Proportional to 206,181.80, 309,272.70 and 136,140.20

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Solution

The fourth proportional to 206,181.80, 309,272.70 and 136,140.20 is: 204,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,181.80 : 309,272.70 = 136,140.20 : x
  2. Step 2: Convert to fraction form
    206,181.80/309,272.70 = 136,140.20/x
  3. Step 3: Cross multiply
    206,181.80x = 309,272.70 × 136,140.20
  4. Step 4: Simplify right side
    206,181.80x = 42,104,447,232.54
  5. Step 5: Solve for x
    x = 42,104,447,232.54/206,181.80
  6. Step 6: Final answer
    x = 204,210.30

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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.