Home / 205,947.74-284,194.42-115,302.87

Finding the Fourth Proportional to 205,947.74, 284,194.42 and 115,302.87

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Solution

The fourth proportional to 205,947.74, 284,194.42 and 115,302.87 is: 159,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,947.74 : 284,194.42 = 115,302.87 : x
  2. Step 2: Convert to fraction form
    205,947.74/284,194.42 = 115,302.87/x
  3. Step 3: Cross multiply
    205,947.74x = 284,194.42 × 115,302.87
  4. Step 4: Simplify right side
    205,947.74x = 32,768,431,975.73
  5. Step 5: Solve for x
    x = 32,768,431,975.73/205,947.74
  6. Step 6: Final answer
    x = 159,110.42

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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.