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Finding the Fourth Proportional to 206,447.80, 309,866.10 and 127,715.80

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Solution

The fourth proportional to 206,447.80, 309,866.10 and 127,715.80 is: 191,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,447.80 : 309,866.10 = 127,715.80 : x
  2. Step 2: Convert to fraction form
    206,447.80/309,866.10 = 127,715.80/x
  3. Step 3: Cross multiply
    206,447.80x = 309,866.10 × 127,715.80
  4. Step 4: Simplify right side
    206,447.80x = 39,574,796,854.38
  5. Step 5: Solve for x
    x = 39,574,796,854.38/206,447.80
  6. Step 6: Final answer
    x = 191,693.96

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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.