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Finding the Fourth Proportional to 205,561.92, 308,367.58 and 72,414.66

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Solution

The fourth proportional to 205,561.92, 308,367.58 and 72,414.66 is: 108,630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,561.92 : 308,367.58 = 72,414.66 : x
  2. Step 2: Convert to fraction form
    205,561.92/308,367.58 = 72,414.66/x
  3. Step 3: Cross multiply
    205,561.92x = 308,367.58 × 72,414.66
  4. Step 4: Simplify right side
    205,561.92x = 22,330,333,460.72
  5. Step 5: Solve for x
    x = 22,330,333,460.72/205,561.92
  6. Step 6: Final answer
    x = 108,630.69

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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.