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Finding the Fourth Proportional to 81,102.01, 121,727.81 and 41,149.01

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Solution

The fourth proportional to 81,102.01, 121,727.81 and 41,149.01 is: 61,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,102.01 : 121,727.81 = 41,149.01 : x
  2. Step 2: Convert to fraction form
    81,102.01/121,727.81 = 41,149.01/x
  3. Step 3: Cross multiply
    81,102.01x = 121,727.81 × 41,149.01
  4. Step 4: Simplify right side
    81,102.01x = 5,008,979,278.16
  5. Step 5: Solve for x
    x = 5,008,979,278.16/81,102.01
  6. Step 6: Final answer
    x = 61,761.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.