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Finding the Fourth Proportional to 201,785.76, 278,456.72 and 121,257.69

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Solution

The fourth proportional to 201,785.76, 278,456.72 and 121,257.69 is: 167,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,785.76 : 278,456.72 = 121,257.69 : x
  2. Step 2: Convert to fraction form
    201,785.76/278,456.72 = 121,257.69/x
  3. Step 3: Cross multiply
    201,785.76x = 278,456.72 × 121,257.69
  4. Step 4: Simplify right side
    201,785.76x = 33,765,018,632.18
  5. Step 5: Solve for x
    x = 33,765,018,632.18/201,785.76
  6. Step 6: Final answer
    x = 167,331.03

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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.