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Finding the Fourth Proportional to 54,851.82, 75,694.95 and 30,978.42

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Solution

The fourth proportional to 54,851.82, 75,694.95 and 30,978.42 is: 42,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,851.82 : 75,694.95 = 30,978.42 : x
  2. Step 2: Convert to fraction form
    54,851.82/75,694.95 = 30,978.42/x
  3. Step 3: Cross multiply
    54,851.82x = 75,694.95 × 30,978.42
  4. Step 4: Simplify right side
    54,851.82x = 2,344,909,952.98
  5. Step 5: Solve for x
    x = 2,344,909,952.98/54,851.82
  6. Step 6: Final answer
    x = 42,749.90

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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.