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Finding the Fourth Proportional to 81,228.74, 121,835.43 and 25,053.77

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Solution

The fourth proportional to 81,228.74, 121,835.43 and 25,053.77 is: 37,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,228.74 : 121,835.43 = 25,053.77 : x
  2. Step 2: Convert to fraction form
    81,228.74/121,835.43 = 25,053.77/x
  3. Step 3: Cross multiply
    81,228.74x = 121,835.43 × 25,053.77
  4. Step 4: Simplify right side
    81,228.74x = 3,052,436,841.07
  5. Step 5: Solve for x
    x = 3,052,436,841.07/81,228.74
  6. Step 6: Final answer
    x = 37,578.29

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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.