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Finding the Fourth Proportional to 205,910, 284,161.74 and 115,265.43

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Solution

The fourth proportional to 205,910, 284,161.74 and 115,265.43 is: 159,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,910 : 284,161.74 = 115,265.43 : x
  2. Step 2: Convert to fraction form
    205,910/284,161.74 = 115,265.43/x
  3. Step 3: Cross multiply
    205,910x = 284,161.74 × 115,265.43
  4. Step 4: Simplify right side
    205,910x = 32,754,024,574.32
  5. Step 5: Solve for x
    x = 32,754,024,574.32/205,910
  6. Step 6: Final answer
    x = 159,069.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.