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Finding the Fourth Proportional to 54,415.76, 75,093 and 30,542

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Solution

The fourth proportional to 54,415.76, 75,093 and 30,542 is: 42,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,415.76 : 75,093 = 30,542 : x
  2. Step 2: Convert to fraction form
    54,415.76/75,093 = 30,542/x
  3. Step 3: Cross multiply
    54,415.76x = 75,093 × 30,542
  4. Step 4: Simplify right side
    54,415.76x = 2,293,490,406
  5. Step 5: Solve for x
    x = 2,293,490,406/54,415.76
  6. Step 6: Final answer
    x = 42,147.54

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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.