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Finding the Fourth Proportional to 201,871.64, 278,694.60 and 121,318.76

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Solution

The fourth proportional to 201,871.64, 278,694.60 and 121,318.76 is: 167,487.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,871.64 : 278,694.60 = 121,318.76 : x
  2. Step 2: Convert to fraction form
    201,871.64/278,694.60 = 121,318.76/x
  3. Step 3: Cross multiply
    201,871.64x = 278,694.60 × 121,318.76
  4. Step 4: Simplify right side
    201,871.64x = 33,810,883,290.70
  5. Step 5: Solve for x
    x = 33,810,883,290.70/201,871.64
  6. Step 6: Final answer
    x = 167,487.04

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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.