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Finding the Fourth Proportional to 206,474.07, 284,955.80 and 115,854.51

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Solution

The fourth proportional to 206,474.07, 284,955.80 and 115,854.51 is: 159,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,474.07 : 284,955.80 = 115,854.51 : x
  2. Step 2: Convert to fraction form
    206,474.07/284,955.80 = 115,854.51/x
  3. Step 3: Cross multiply
    206,474.07x = 284,955.80 × 115,854.51
  4. Step 4: Simplify right side
    206,474.07x = 33,013,414,001.39
  5. Step 5: Solve for x
    x = 33,013,414,001.39/206,474.07
  6. Step 6: Final answer
    x = 159,891.33

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1.5x scale

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.