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Finding the Fourth Proportional to 221,906.40, 306,232.68 and 126,411.60

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Solution

The fourth proportional to 221,906.40, 306,232.68 and 126,411.60 is: 174,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,906.40 : 306,232.68 = 126,411.60 : x
  2. Step 2: Convert to fraction form
    221,906.40/306,232.68 = 126,411.60/x
  3. Step 3: Cross multiply
    221,906.40x = 306,232.68 × 126,411.60
  4. Step 4: Simplify right side
    221,906.40x = 38,711,363,051.09
  5. Step 5: Solve for x
    x = 38,711,363,051.09/221,906.40
  6. Step 6: Final answer
    x = 174,449.06

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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.