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Finding the Fourth Proportional to 84,105, 126,157.52 and 34,212.24

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Solution

The fourth proportional to 84,105, 126,157.52 and 34,212.24 is: 51,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,105 : 126,157.52 = 34,212.24 : x
  2. Step 2: Convert to fraction form
    84,105/126,157.52 = 34,212.24/x
  3. Step 3: Cross multiply
    84,105x = 126,157.52 × 34,212.24
  4. Step 4: Simplify right side
    84,105x = 4,316,131,352.04
  5. Step 5: Solve for x
    x = 4,316,131,352.04/84,105
  6. Step 6: Final answer
    x = 51,318.37

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1.5x scale

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.