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Finding the Fourth Proportional to 201,778.04, 278,429.31 and 115,732.56

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Solution

The fourth proportional to 201,778.04, 278,429.31 and 115,732.56 is: 159,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,778.04 : 278,429.31 = 115,732.56 : x
  2. Step 2: Convert to fraction form
    201,778.04/278,429.31 = 115,732.56/x
  3. Step 3: Cross multiply
    201,778.04x = 278,429.31 × 115,732.56
  4. Step 4: Simplify right side
    201,778.04x = 32,223,336,825.33
  5. Step 5: Solve for x
    x = 32,223,336,825.33/201,778.04
  6. Step 6: Final answer
    x = 159,696.95

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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.