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Finding the Fourth Proportional to 123,261.60, 184,965.30 and 81,263.10

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Solution

The fourth proportional to 123,261.60, 184,965.30 and 81,263.10 is: 121,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,261.60 : 184,965.30 = 81,263.10 : x
  2. Step 2: Convert to fraction form
    123,261.60/184,965.30 = 81,263.10/x
  3. Step 3: Cross multiply
    123,261.60x = 184,965.30 × 81,263.10
  4. Step 4: Simplify right side
    123,261.60x = 15,030,853,670.43
  5. Step 5: Solve for x
    x = 15,030,853,670.43/123,261.60
  6. Step 6: Final answer
    x = 121,942.71

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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.