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Finding the Fourth Proportional to 206,574.30, 309,618.45 and 117,911.70

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Solution

The fourth proportional to 206,574.30, 309,618.45 and 117,911.70 is: 176,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,574.30 : 309,618.45 = 117,911.70 : x
  2. Step 2: Convert to fraction form
    206,574.30/309,618.45 = 117,911.70/x
  3. Step 3: Cross multiply
    206,574.30x = 309,618.45 × 117,911.70
  4. Step 4: Simplify right side
    206,574.30x = 36,507,637,790.87
  5. Step 5: Solve for x
    x = 36,507,637,790.87/206,574.30
  6. Step 6: Final answer
    x = 176,728.85

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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.