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Finding the Fourth Proportional to 84,257.82, 126,409.82 and 36,864.32

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Solution

The fourth proportional to 84,257.82, 126,409.82 and 36,864.32 is: 55,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,257.82 : 126,409.82 = 36,864.32 : x
  2. Step 2: Convert to fraction form
    84,257.82/126,409.82 = 36,864.32/x
  3. Step 3: Cross multiply
    84,257.82x = 126,409.82 × 36,864.32
  4. Step 4: Simplify right side
    84,257.82x = 4,660,011,239.25
  5. Step 5: Solve for x
    x = 4,660,011,239.25/84,257.82
  6. Step 6: Final answer
    x = 55,306.57

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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.