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Finding the Fourth Proportional to 180,765.12, 270,766.22 and 145,032.98

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Solution

The fourth proportional to 180,765.12, 270,766.22 and 145,032.98 is: 217,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,765.12 : 270,766.22 = 145,032.98 : x
  2. Step 2: Convert to fraction form
    180,765.12/270,766.22 = 145,032.98/x
  3. Step 3: Cross multiply
    180,765.12x = 270,766.22 × 145,032.98
  4. Step 4: Simplify right side
    180,765.12x = 39,270,031,769.94
  5. Step 5: Solve for x
    x = 39,270,031,769.94/180,765.12
  6. Step 6: Final answer
    x = 217,243.41

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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.