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Finding the Fourth Proportional to 100,107.87, 138,147.02 and 54,784.95

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Solution

The fourth proportional to 100,107.87, 138,147.02 and 54,784.95 is: 75,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,107.87 : 138,147.02 = 54,784.95 : x
  2. Step 2: Convert to fraction form
    100,107.87/138,147.02 = 54,784.95/x
  3. Step 3: Cross multiply
    100,107.87x = 138,147.02 × 54,784.95
  4. Step 4: Simplify right side
    100,107.87x = 7,568,377,583.35
  5. Step 5: Solve for x
    x = 7,568,377,583.35/100,107.87
  6. Step 6: Final answer
    x = 75,602.22

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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.