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Finding the Fourth Proportional to 81,758.74, 112,722.96 and 54,858.64

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Solution

The fourth proportional to 81,758.74, 112,722.96 and 54,858.64 is: 75,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,758.74 : 112,722.96 = 54,858.64 : x
  2. Step 2: Convert to fraction form
    81,758.74/112,722.96 = 54,858.64/x
  3. Step 3: Cross multiply
    81,758.74x = 112,722.96 × 54,858.64
  4. Step 4: Simplify right side
    81,758.74x = 6,183,828,282.37
  5. Step 5: Solve for x
    x = 6,183,828,282.37/81,758.74
  6. Step 6: Final answer
    x = 75,635.07

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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.