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Finding the Fourth Proportional to 100,268, 138,370.01 and 54,938.78

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Solution

The fourth proportional to 100,268, 138,370.01 and 54,938.78 is: 75,815.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,268 : 138,370.01 = 54,938.78 : x
  2. Step 2: Convert to fraction form
    100,268/138,370.01 = 54,938.78/x
  3. Step 3: Cross multiply
    100,268x = 138,370.01 × 54,938.78
  4. Step 4: Simplify right side
    100,268x = 7,601,879,537.99
  5. Step 5: Solve for x
    x = 7,601,879,537.99/100,268
  6. Step 6: Final answer
    x = 75,815.61

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1.5x scale

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.