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Finding the Fourth Proportional to 221,843.04, 306,197.82 and 126,406.14

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Solution

The fourth proportional to 221,843.04, 306,197.82 and 126,406.14 is: 174,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,843.04 : 306,197.82 = 126,406.14 : x
  2. Step 2: Convert to fraction form
    221,843.04/306,197.82 = 126,406.14/x
  3. Step 3: Cross multiply
    221,843.04x = 306,197.82 × 126,406.14
  4. Step 4: Simplify right side
    221,843.04x = 38,705,284,502.61
  5. Step 5: Solve for x
    x = 38,705,284,502.61/221,843.04
  6. Step 6: Final answer
    x = 174,471.48

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1.5x scale

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.