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Finding the Fourth Proportional to 54,661, 75,419.22 and 30,782.92

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Solution

The fourth proportional to 54,661, 75,419.22 and 30,782.92 is: 42,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,661 : 75,419.22 = 30,782.92 : x
  2. Step 2: Convert to fraction form
    54,661/75,419.22 = 30,782.92/x
  3. Step 3: Cross multiply
    54,661x = 75,419.22 × 30,782.92
  4. Step 4: Simplify right side
    54,661x = 2,321,623,815.72
  5. Step 5: Solve for x
    x = 2,321,623,815.72/54,661
  6. Step 6: Final answer
    x = 42,473.13

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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.