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Finding the Fourth Proportional to 223,694.40, 308,742.48 and 128,265.60

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Solution

The fourth proportional to 223,694.40, 308,742.48 and 128,265.60 is: 177,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,694.40 : 308,742.48 = 128,265.60 : x
  2. Step 2: Convert to fraction form
    223,694.40/308,742.48 = 128,265.60/x
  3. Step 3: Cross multiply
    223,694.40x = 308,742.48 × 128,265.60
  4. Step 4: Simplify right side
    223,694.40x = 39,601,039,442.69
  5. Step 5: Solve for x
    x = 39,601,039,442.69/223,694.40
  6. Step 6: Final answer
    x = 177,031.88

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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.