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Finding the Fourth Proportional to 205,788.86, 308,695.24 and 79,429.82

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Solution

The fourth proportional to 205,788.86, 308,695.24 and 79,429.82 is: 119,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,788.86 : 308,695.24 = 79,429.82 : x
  2. Step 2: Convert to fraction form
    205,788.86/308,695.24 = 79,429.82/x
  3. Step 3: Cross multiply
    205,788.86x = 308,695.24 × 79,429.82
  4. Step 4: Simplify right side
    205,788.86x = 24,519,607,348.06
  5. Step 5: Solve for x
    x = 24,519,607,348.06/205,788.86
  6. Step 6: Final answer
    x = 119,149.34

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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.