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Finding the Fourth Proportional to 185,855.94, 278,741.88 and 85,961.32

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Solution

The fourth proportional to 185,855.94, 278,741.88 and 85,961.32 is: 128,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,855.94 : 278,741.88 = 85,961.32 : x
  2. Step 2: Convert to fraction form
    185,855.94/278,741.88 = 85,961.32/x
  3. Step 3: Cross multiply
    185,855.94x = 278,741.88 × 85,961.32
  4. Step 4: Simplify right side
    185,855.94x = 23,961,019,944.08
  5. Step 5: Solve for x
    x = 23,961,019,944.08/185,855.94
  6. Step 6: Final answer
    x = 128,922.54

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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.