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Finding the Fourth Proportional to 126,978.21, 175,231.49 and 73,274.40

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Solution

The fourth proportional to 126,978.21, 175,231.49 and 73,274.40 is: 101,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,978.21 : 175,231.49 = 73,274.40 : x
  2. Step 2: Convert to fraction form
    126,978.21/175,231.49 = 73,274.40/x
  3. Step 3: Cross multiply
    126,978.21x = 175,231.49 × 73,274.40
  4. Step 4: Simplify right side
    126,978.21x = 12,839,982,290.86
  5. Step 5: Solve for x
    x = 12,839,982,290.86/126,978.21
  6. Step 6: Final answer
    x = 101,119.57

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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.