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Finding the Fourth Proportional to 180,176.14, 270,308.26 and 126,971.90

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Solution

The fourth proportional to 180,176.14, 270,308.26 and 126,971.90 is: 190,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,176.14 : 270,308.26 = 126,971.90 : x
  2. Step 2: Convert to fraction form
    180,176.14/270,308.26 = 126,971.90/x
  3. Step 3: Cross multiply
    180,176.14x = 270,308.26 × 126,971.90
  4. Step 4: Simplify right side
    180,176.14x = 34,321,553,357.89
  5. Step 5: Solve for x
    x = 34,321,553,357.89/180,176.14
  6. Step 6: Final answer
    x = 190,488.89

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1.5x scale

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.