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Finding the Fourth Proportional to 206,505.36, 284,979.96 and 115,880.76

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Solution

The fourth proportional to 206,505.36, 284,979.96 and 115,880.76 is: 159,916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,505.36 : 284,979.96 = 115,880.76 : x
  2. Step 2: Convert to fraction form
    206,505.36/284,979.96 = 115,880.76/x
  3. Step 3: Cross multiply
    206,505.36x = 284,979.96 × 115,880.76
  4. Step 4: Simplify right side
    206,505.36x = 33,023,694,349.57
  5. Step 5: Solve for x
    x = 33,023,694,349.57/206,505.36
  6. Step 6: Final answer
    x = 159,916.89

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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.