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Finding the Fourth Proportional to 133,781.60, 184,520.81 and 85,416.78

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Solution

The fourth proportional to 133,781.60, 184,520.81 and 85,416.78 is: 117,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,781.60 : 184,520.81 = 85,416.78 : x
  2. Step 2: Convert to fraction form
    133,781.60/184,520.81 = 85,416.78/x
  3. Step 3: Cross multiply
    133,781.60x = 184,520.81 × 85,416.78
  4. Step 4: Simplify right side
    133,781.60x = 15,761,173,433.19
  5. Step 5: Solve for x
    x = 15,761,173,433.19/133,781.60
  6. Step 6: Final answer
    x = 117,812.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.