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Finding the Fourth Proportional to 156,589.75, 234,923.64 and 45,781.75

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Solution

The fourth proportional to 156,589.75, 234,923.64 and 45,781.75 is: 68,684.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,589.75 : 234,923.64 = 45,781.75 : x
  2. Step 2: Convert to fraction form
    156,589.75/234,923.64 = 45,781.75/x
  3. Step 3: Cross multiply
    156,589.75x = 234,923.64 × 45,781.75
  4. Step 4: Simplify right side
    156,589.75x = 10,755,215,355.57
  5. Step 5: Solve for x
    x = 10,755,215,355.57/156,589.75
  6. Step 6: Final answer
    x = 68,684.03

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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.