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Finding the Fourth Proportional to 122,873.85, 184,310.78 and 83,507.85

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Solution

The fourth proportional to 122,873.85, 184,310.78 and 83,507.85 is: 125,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,873.85 : 184,310.78 = 83,507.85 : x
  2. Step 2: Convert to fraction form
    122,873.85/184,310.78 = 83,507.85/x
  3. Step 3: Cross multiply
    122,873.85x = 184,310.78 × 83,507.85
  4. Step 4: Simplify right side
    122,873.85x = 15,391,396,552.08
  5. Step 5: Solve for x
    x = 15,391,396,552.08/122,873.85
  6. Step 6: Final answer
    x = 125,261.78

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1.5x scale

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.