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Finding the Fourth Proportional to 84,096, 126,144 and 34,203.24

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Solution

The fourth proportional to 84,096, 126,144 and 34,203.24 is: 51,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,096 : 126,144 = 34,203.24 : x
  2. Step 2: Convert to fraction form
    84,096/126,144 = 34,203.24/x
  3. Step 3: Cross multiply
    84,096x = 126,144 × 34,203.24
  4. Step 4: Simplify right side
    84,096x = 4,314,533,506.56
  5. Step 5: Solve for x
    x = 4,314,533,506.56/84,096
  6. Step 6: Final answer
    x = 51,304.86

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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.