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Finding the Fourth Proportional to 180,122.27, 270,188.87 and 61,791.89

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Solution

The fourth proportional to 180,122.27, 270,188.87 and 61,791.89 is: 92,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,122.27 : 270,188.87 = 61,791.89 : x
  2. Step 2: Convert to fraction form
    180,122.27/270,188.87 = 61,791.89/x
  3. Step 3: Cross multiply
    180,122.27x = 270,188.87 × 61,791.89
  4. Step 4: Simplify right side
    180,122.27x = 16,695,479,274.36
  5. Step 5: Solve for x
    x = 16,695,479,274.36/180,122.27
  6. Step 6: Final answer
    x = 92,689.70

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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.