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Finding the Fourth Proportional to 180,675.78, 270,970.11 and 75,437.70

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Solution

The fourth proportional to 180,675.78, 270,970.11 and 75,437.70 is: 113,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,675.78 : 270,970.11 = 75,437.70 : x
  2. Step 2: Convert to fraction form
    180,675.78/270,970.11 = 75,437.70/x
  3. Step 3: Cross multiply
    180,675.78x = 270,970.11 × 75,437.70
  4. Step 4: Simplify right side
    180,675.78x = 20,441,361,867.15
  5. Step 5: Solve for x
    x = 20,441,361,867.15/180,675.78
  6. Step 6: Final answer
    x = 113,138.36

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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.