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Finding the Fourth Proportional to 145,494.74, 200,774.18 and 80,961.83

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Solution

The fourth proportional to 145,494.74, 200,774.18 and 80,961.83 is: 111,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,494.74 : 200,774.18 = 80,961.83 : x
  2. Step 2: Convert to fraction form
    145,494.74/200,774.18 = 80,961.83/x
  3. Step 3: Cross multiply
    145,494.74x = 200,774.18 × 80,961.83
  4. Step 4: Simplify right side
    145,494.74x = 16,255,043,620.87
  5. Step 5: Solve for x
    x = 16,255,043,620.87/145,494.74
  6. Step 6: Final answer
    x = 111,722.56

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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.