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Finding the Fourth Proportional to 123,161.76, 184,449.42 and 78,650.64

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Solution

The fourth proportional to 123,161.76, 184,449.42 and 78,650.64 is: 117,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,161.76 : 184,449.42 = 78,650.64 : x
  2. Step 2: Convert to fraction form
    123,161.76/184,449.42 = 78,650.64/x
  3. Step 3: Cross multiply
    123,161.76x = 184,449.42 × 78,650.64
  4. Step 4: Simplify right side
    123,161.76x = 14,507,064,930.63
  5. Step 5: Solve for x
    x = 14,507,064,930.63/123,161.76
  6. Step 6: Final answer
    x = 117,788.71

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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.