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Finding the Fourth Proportional to 206,068.97, 284,371.83 and 115,424.71

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Solution

The fourth proportional to 206,068.97, 284,371.83 and 115,424.71 is: 159,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,068.97 : 284,371.83 = 115,424.71 : x
  2. Step 2: Convert to fraction form
    206,068.97/284,371.83 = 115,424.71/x
  3. Step 3: Cross multiply
    206,068.97x = 284,371.83 × 115,424.71
  4. Step 4: Simplify right side
    206,068.97x = 32,823,535,298.99
  5. Step 5: Solve for x
    x = 32,823,535,298.99/206,068.97
  6. Step 6: Final answer
    x = 159,284.22

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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.