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Finding the Fourth Proportional to 57,603.92, 86,439.48 and 31,311.44

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Solution

The fourth proportional to 57,603.92, 86,439.48 and 31,311.44 is: 46,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,603.92 : 86,439.48 = 31,311.44 : x
  2. Step 2: Convert to fraction form
    57,603.92/86,439.48 = 31,311.44/x
  3. Step 3: Cross multiply
    57,603.92x = 86,439.48 × 31,311.44
  4. Step 4: Simplify right side
    57,603.92x = 2,706,544,591.65
  5. Step 5: Solve for x
    x = 2,706,544,591.65/57,603.92
  6. Step 6: Final answer
    x = 46,985.42

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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.