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Finding the Fourth Proportional to 205,813.86, 308,732.94 and 79,454.94

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Solution

The fourth proportional to 205,813.86, 308,732.94 and 79,454.94 is: 119,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,813.86 : 308,732.94 = 79,454.94 : x
  2. Step 2: Convert to fraction form
    205,813.86/308,732.94 = 79,454.94/x
  3. Step 3: Cross multiply
    205,813.86x = 308,732.94 × 79,454.94
  4. Step 4: Simplify right side
    205,813.86x = 24,530,357,223.72
  5. Step 5: Solve for x
    x = 24,530,357,223.72/205,813.86
  6. Step 6: Final answer
    x = 119,187.10

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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.