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Finding the Fourth Proportional to 201,926.22, 278,659.29 and 115,878.36

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Solution

The fourth proportional to 201,926.22, 278,659.29 and 115,878.36 is: 159,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,926.22 : 278,659.29 = 115,878.36 : x
  2. Step 2: Convert to fraction form
    201,926.22/278,659.29 = 115,878.36/x
  3. Step 3: Cross multiply
    201,926.22x = 278,659.29 × 115,878.36
  4. Step 4: Simplify right side
    201,926.22x = 32,290,581,523.96
  5. Step 5: Solve for x
    x = 32,290,581,523.96/201,926.22
  6. Step 6: Final answer
    x = 159,912.77

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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.