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Finding the Fourth Proportional to 221,730.66, 305,980.74 and 126,218.88

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Solution

The fourth proportional to 221,730.66, 305,980.74 and 126,218.88 is: 174,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,730.66 : 305,980.74 = 126,218.88 : x
  2. Step 2: Convert to fraction form
    221,730.66/305,980.74 = 126,218.88/x
  3. Step 3: Cross multiply
    221,730.66x = 305,980.74 × 126,218.88
  4. Step 4: Simplify right side
    221,730.66x = 38,620,546,304.37
  5. Step 5: Solve for x
    x = 38,620,546,304.37/221,730.66
  6. Step 6: Final answer
    x = 174,177.74

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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.