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Finding the Fourth Proportional to 54,651.92, 75,419.90 and 30,779

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Solution

The fourth proportional to 54,651.92, 75,419.90 and 30,779 is: 42,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,651.92 : 75,419.90 = 30,779 : x
  2. Step 2: Convert to fraction form
    54,651.92/75,419.90 = 30,779/x
  3. Step 3: Cross multiply
    54,651.92x = 75,419.90 × 30,779
  4. Step 4: Simplify right side
    54,651.92x = 2,321,349,102.10
  5. Step 5: Solve for x
    x = 2,321,349,102.10/54,651.92
  6. Step 6: Final answer
    x = 42,475.16

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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.