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Finding the Fourth Proportional to 54,871.70, 75,721.86 and 30,672.54

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Solution

The fourth proportional to 54,871.70, 75,721.86 and 30,672.54 is: 42,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,871.70 : 75,721.86 = 30,672.54 : x
  2. Step 2: Convert to fraction form
    54,871.70/75,721.86 = 30,672.54/x
  3. Step 3: Cross multiply
    54,871.70x = 75,721.86 × 30,672.54
  4. Step 4: Simplify right side
    54,871.70x = 2,322,581,779.72
  5. Step 5: Solve for x
    x = 2,322,581,779.72/54,871.70
  6. Step 6: Final answer
    x = 42,327.50

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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.