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Finding the Fourth Proportional to 201,571.32, 278,179.91 and 115,544.61

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Solution

The fourth proportional to 201,571.32, 278,179.91 and 115,544.61 is: 159,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,571.32 : 278,179.91 = 115,544.61 : x
  2. Step 2: Convert to fraction form
    201,571.32/278,179.91 = 115,544.61/x
  3. Step 3: Cross multiply
    201,571.32x = 278,179.91 × 115,544.61
  4. Step 4: Simplify right side
    201,571.32x = 32,142,188,633.06
  5. Step 5: Solve for x
    x = 32,142,188,633.06/201,571.32
  6. Step 6: Final answer
    x = 159,458.14

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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.