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Finding the Fourth Proportional to 81,508.70, 112,443.28 and 54,297.44

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Solution

The fourth proportional to 81,508.70, 112,443.28 and 54,297.44 is: 74,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,508.70 : 112,443.28 = 54,297.44 : x
  2. Step 2: Convert to fraction form
    81,508.70/112,443.28 = 54,297.44/x
  3. Step 3: Cross multiply
    81,508.70x = 112,443.28 × 54,297.44
  4. Step 4: Simplify right side
    81,508.70x = 6,105,382,249.20
  5. Step 5: Solve for x
    x = 6,105,382,249.20/81,508.70
  6. Step 6: Final answer
    x = 74,904.67

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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.