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Finding the Fourth Proportional to 146,449.82, 202,105.53 and 81,039.40

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Solution

The fourth proportional to 146,449.82, 202,105.53 and 81,039.40 is: 111,837.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,449.82 : 202,105.53 = 81,039.40 : x
  2. Step 2: Convert to fraction form
    146,449.82/202,105.53 = 81,039.40/x
  3. Step 3: Cross multiply
    146,449.82x = 202,105.53 × 81,039.40
  4. Step 4: Simplify right side
    146,449.82x = 16,378,510,382.62
  5. Step 5: Solve for x
    x = 16,378,510,382.62/146,449.82
  6. Step 6: Final answer
    x = 111,837.01

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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.