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Finding the Fourth Proportional to 205,234.59, 307,862.26 and 78,830.52

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Solution

The fourth proportional to 205,234.59, 307,862.26 and 78,830.52 is: 118,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,234.59 : 307,862.26 = 78,830.52 : x
  2. Step 2: Convert to fraction form
    205,234.59/307,862.26 = 78,830.52/x
  3. Step 3: Cross multiply
    205,234.59x = 307,862.26 × 78,830.52
  4. Step 4: Simplify right side
    205,234.59x = 24,268,940,692.62
  5. Step 5: Solve for x
    x = 24,268,940,692.62/205,234.59
  6. Step 6: Final answer
    x = 118,249.76

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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.