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Finding the Fourth Proportional to 81,138, 121,712.52 and 24,974.64

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Solution

The fourth proportional to 81,138, 121,712.52 and 24,974.64 is: 37,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,138 : 121,712.52 = 24,974.64 : x
  2. Step 2: Convert to fraction form
    81,138/121,712.52 = 24,974.64/x
  3. Step 3: Cross multiply
    81,138x = 121,712.52 × 24,974.64
  4. Step 4: Simplify right side
    81,138x = 3,039,726,370.49
  5. Step 5: Solve for x
    x = 3,039,726,370.49/81,138
  6. Step 6: Final answer
    x = 37,463.66

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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.