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Finding the Fourth Proportional to 123,138.87, 184,708.31 and 95,099.83

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Solution

The fourth proportional to 123,138.87, 184,708.31 and 95,099.83 is: 142,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,138.87 : 184,708.31 = 95,099.83 : x
  2. Step 2: Convert to fraction form
    123,138.87/184,708.31 = 95,099.83/x
  3. Step 3: Cross multiply
    123,138.87x = 184,708.31 × 95,099.83
  4. Step 4: Simplify right side
    123,138.87x = 17,565,728,880.59
  5. Step 5: Solve for x
    x = 17,565,728,880.59/123,138.87
  6. Step 6: Final answer
    x = 142,649.75

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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.