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Finding the Fourth Proportional to 221,793, 306,074 and 126,299.72

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Solution

The fourth proportional to 221,793, 306,074 and 126,299.72 is: 174,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,793 : 306,074 = 126,299.72 : x
  2. Step 2: Convert to fraction form
    221,793/306,074 = 126,299.72/x
  3. Step 3: Cross multiply
    221,793x = 306,074 × 126,299.72
  4. Step 4: Simplify right side
    221,793x = 38,657,060,499.28
  5. Step 5: Solve for x
    x = 38,657,060,499.28/221,793
  6. Step 6: Final answer
    x = 174,293.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.