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Finding the Fourth Proportional to 180,121.37, 270,187.52 and 61,791

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Solution

The fourth proportional to 180,121.37, 270,187.52 and 61,791 is: 92,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,121.37 : 270,187.52 = 61,791 : x
  2. Step 2: Convert to fraction form
    180,121.37/270,187.52 = 61,791/x
  3. Step 3: Cross multiply
    180,121.37x = 270,187.52 × 61,791
  4. Step 4: Simplify right side
    180,121.37x = 16,695,156,739.37
  5. Step 5: Solve for x
    x = 16,695,156,739.37/180,121.37
  6. Step 6: Final answer
    x = 92,688.38

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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.