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Finding the Fourth Proportional to 73,705.36, 101,713.88 and 40,171.44

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Solution

The fourth proportional to 73,705.36, 101,713.88 and 40,171.44 is: 55,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,705.36 : 101,713.88 = 40,171.44 : x
  2. Step 2: Convert to fraction form
    73,705.36/101,713.88 = 40,171.44/x
  3. Step 3: Cross multiply
    73,705.36x = 101,713.88 × 40,171.44
  4. Step 4: Simplify right side
    73,705.36x = 4,085,993,027.59
  5. Step 5: Solve for x
    x = 4,085,993,027.59/73,705.36
  6. Step 6: Final answer
    x = 55,436.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.