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Finding the Fourth Proportional to 84,108, 126,162.02 and 34,215.24

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Solution

The fourth proportional to 84,108, 126,162.02 and 34,215.24 is: 51,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,108 : 126,162.02 = 34,215.24 : x
  2. Step 2: Convert to fraction form
    84,108/126,162.02 = 34,215.24/x
  3. Step 3: Cross multiply
    84,108x = 126,162.02 × 34,215.24
  4. Step 4: Simplify right side
    84,108x = 4,316,663,793.18
  5. Step 5: Solve for x
    x = 4,316,663,793.18/84,108
  6. Step 6: Final answer
    x = 51,322.87

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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.