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Finding the Fourth Proportional to 81,239.51, 121,814 and 25,063.68

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Solution

The fourth proportional to 81,239.51, 121,814 and 25,063.68 is: 37,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,239.51 : 121,814 = 25,063.68 : x
  2. Step 2: Convert to fraction form
    81,239.51/121,814 = 25,063.68/x
  3. Step 3: Cross multiply
    81,239.51x = 121,814 × 25,063.68
  4. Step 4: Simplify right side
    81,239.51x = 3,053,107,115.52
  5. Step 5: Solve for x
    x = 3,053,107,115.52/81,239.51
  6. Step 6: Final answer
    x = 37,581.56

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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.