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Finding the Fourth Proportional to 81,266.81, 121,911.87 and 25,111.82

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Solution

The fourth proportional to 81,266.81, 121,911.87 and 25,111.82 is: 37,671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,266.81 : 121,911.87 = 25,111.82 : x
  2. Step 2: Convert to fraction form
    81,266.81/121,911.87 = 25,111.82/x
  3. Step 3: Cross multiply
    81,266.81x = 121,911.87 × 25,111.82
  4. Step 4: Simplify right side
    81,266.81x = 3,061,428,325.74
  5. Step 5: Solve for x
    x = 3,061,428,325.74/81,266.81
  6. Step 6: Final answer
    x = 37,671.33

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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.