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Finding the Fourth Proportional to 54,745.76, 75,555.90 and 30,872

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Solution

The fourth proportional to 54,745.76, 75,555.90 and 30,872 is: 42,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,745.76 : 75,555.90 = 30,872 : x
  2. Step 2: Convert to fraction form
    54,745.76/75,555.90 = 30,872/x
  3. Step 3: Cross multiply
    54,745.76x = 75,555.90 × 30,872
  4. Step 4: Simplify right side
    54,745.76x = 2,332,561,744.80
  5. Step 5: Solve for x
    x = 2,332,561,744.80/54,745.76
  6. Step 6: Final answer
    x = 42,607.17

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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.