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Finding the Fourth Proportional to 206,368.69, 309,456.42 and 73,246

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Solution

The fourth proportional to 206,368.69, 309,456.42 and 73,246 is: 109,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,368.69 : 309,456.42 = 73,246 : x
  2. Step 2: Convert to fraction form
    206,368.69/309,456.42 = 73,246/x
  3. Step 3: Cross multiply
    206,368.69x = 309,456.42 × 73,246
  4. Step 4: Simplify right side
    206,368.69x = 22,666,444,939.32
  5. Step 5: Solve for x
    x = 22,666,444,939.32/206,368.69
  6. Step 6: Final answer
    x = 109,834.71

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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.