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Finding the Fourth Proportional to 54,671.84, 75,446.81 and 30,806.21

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Solution

The fourth proportional to 54,671.84, 75,446.81 and 30,806.21 is: 42,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,671.84 : 75,446.81 = 30,806.21 : x
  2. Step 2: Convert to fraction form
    54,671.84/75,446.81 = 30,806.21/x
  3. Step 3: Cross multiply
    54,671.84x = 75,446.81 × 30,806.21
  4. Step 4: Simplify right side
    54,671.84x = 2,324,229,998.41
  5. Step 5: Solve for x
    x = 2,324,229,998.41/54,671.84
  6. Step 6: Final answer
    x = 42,512.38

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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.