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Finding the Fourth Proportional to 123,254.85, 184,538.84 and 78,771.81

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Solution

The fourth proportional to 123,254.85, 184,538.84 and 78,771.81 is: 117,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,254.85 : 184,538.84 = 78,771.81 : x
  2. Step 2: Convert to fraction form
    123,254.85/184,538.84 = 78,771.81/x
  3. Step 3: Cross multiply
    123,254.85x = 184,538.84 × 78,771.81
  4. Step 4: Simplify right side
    123,254.85x = 14,536,458,048.24
  5. Step 5: Solve for x
    x = 14,536,458,048.24/123,254.85
  6. Step 6: Final answer
    x = 117,938.22

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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.