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Finding the Fourth Proportional to 84,102, 125,895.36 and 54,460.84

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Solution

The fourth proportional to 84,102, 125,895.36 and 54,460.84 is: 81,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,102 : 125,895.36 = 54,460.84 : x
  2. Step 2: Convert to fraction form
    84,102/125,895.36 = 54,460.84/x
  3. Step 3: Cross multiply
    84,102x = 125,895.36 × 54,460.84
  4. Step 4: Simplify right side
    84,102x = 6,856,367,057.70
  5. Step 5: Solve for x
    x = 6,856,367,057.70/84,102
  6. Step 6: Final answer
    x = 81,524.42

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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.