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Finding the Fourth Proportional to 145,879.86, 218,843.15 and 61,640.85

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Solution

The fourth proportional to 145,879.86, 218,843.15 and 61,640.85 is: 92,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,879.86 : 218,843.15 = 61,640.85 : x
  2. Step 2: Convert to fraction form
    145,879.86/218,843.15 = 61,640.85/x
  3. Step 3: Cross multiply
    145,879.86x = 218,843.15 × 61,640.85
  4. Step 4: Simplify right side
    145,879.86x = 13,489,677,782.68
  5. Step 5: Solve for x
    x = 13,489,677,782.68/145,879.86
  6. Step 6: Final answer
    x = 92,471.15

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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.