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Finding the Fourth Proportional to 126,642, 189,963.18 and 43,536

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Solution

The fourth proportional to 126,642, 189,963.18 and 43,536 is: 65,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,642 : 189,963.18 = 43,536 : x
  2. Step 2: Convert to fraction form
    126,642/189,963.18 = 43,536/x
  3. Step 3: Cross multiply
    126,642x = 189,963.18 × 43,536
  4. Step 4: Simplify right side
    126,642x = 8,270,237,004.48
  5. Step 5: Solve for x
    x = 8,270,237,004.48/126,642
  6. Step 6: Final answer
    x = 65,304.06

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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.