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Finding the Fourth Proportional to 180,858.72, 270,473.16 and 138,177.12

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Solution

The fourth proportional to 180,858.72, 270,473.16 and 138,177.12 is: 206,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,858.72 : 270,473.16 = 138,177.12 : x
  2. Step 2: Convert to fraction form
    180,858.72/270,473.16 = 138,177.12/x
  3. Step 3: Cross multiply
    180,858.72x = 270,473.16 × 138,177.12
  4. Step 4: Simplify right side
    180,858.72x = 37,373,202,286.10
  5. Step 5: Solve for x
    x = 37,373,202,286.10/180,858.72
  6. Step 6: Final answer
    x = 206,643.08

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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.