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Finding the Fourth Proportional to 84,067.70, 126,101.55 and 31,474.40

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Solution

The fourth proportional to 84,067.70, 126,101.55 and 31,474.40 is: 47,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,067.70 : 126,101.55 = 31,474.40 : x
  2. Step 2: Convert to fraction form
    84,067.70/126,101.55 = 31,474.40/x
  3. Step 3: Cross multiply
    84,067.70x = 126,101.55 × 31,474.40
  4. Step 4: Simplify right side
    84,067.70x = 3,968,970,625.32
  5. Step 5: Solve for x
    x = 3,968,970,625.32/84,067.70
  6. Step 6: Final answer
    x = 47,211.60

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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.