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Finding the Fourth Proportional to 126,043.80, 189,065.70 and 115,546.20

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Solution

The fourth proportional to 126,043.80, 189,065.70 and 115,546.20 is: 173,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,043.80 : 189,065.70 = 115,546.20 : x
  2. Step 2: Convert to fraction form
    126,043.80/189,065.70 = 115,546.20/x
  3. Step 3: Cross multiply
    126,043.80x = 189,065.70 × 115,546.20
  4. Step 4: Simplify right side
    126,043.80x = 21,845,823,185.34
  5. Step 5: Solve for x
    x = 21,845,823,185.34/126,043.80
  6. Step 6: Final answer
    x = 173,319.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.