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Finding the Fourth Proportional to 122,863.56, 184,338 and 75,783.12

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Solution

The fourth proportional to 122,863.56, 184,338 and 75,783.12 is: 113,700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,863.56 : 184,338 = 75,783.12 : x
  2. Step 2: Convert to fraction form
    122,863.56/184,338 = 75,783.12/x
  3. Step 3: Cross multiply
    122,863.56x = 184,338 × 75,783.12
  4. Step 4: Simplify right side
    122,863.56x = 13,969,708,774.56
  5. Step 5: Solve for x
    x = 13,969,708,774.56/122,863.56
  6. Step 6: Final answer
    x = 113,700.99

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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.