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Finding the Fourth Proportional to 54,651.68, 81,977.54 and 42,189.90

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Solution

The fourth proportional to 54,651.68, 81,977.54 and 42,189.90 is: 63,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,651.68 : 81,977.54 = 42,189.90 : x
  2. Step 2: Convert to fraction form
    54,651.68/81,977.54 = 42,189.90/x
  3. Step 3: Cross multiply
    54,651.68x = 81,977.54 × 42,189.90
  4. Step 4: Simplify right side
    54,651.68x = 3,458,623,696.48
  5. Step 5: Solve for x
    x = 3,458,623,696.48/54,651.68
  6. Step 6: Final answer
    x = 63,284.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.