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Finding the Fourth Proportional to 85,226.96, 127,828.58 and 45,228.44

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Solution

The fourth proportional to 85,226.96, 127,828.58 and 45,228.44 is: 67,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,226.96 : 127,828.58 = 45,228.44 : x
  2. Step 2: Convert to fraction form
    85,226.96/127,828.58 = 45,228.44/x
  3. Step 3: Cross multiply
    85,226.96x = 127,828.58 × 45,228.44
  4. Step 4: Simplify right side
    85,226.96x = 5,781,487,260.82
  5. Step 5: Solve for x
    x = 5,781,487,260.82/85,226.96
  6. Step 6: Final answer
    x = 67,836.37

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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.