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Finding the Fourth Proportional to 156,151, 234,233 and 45,343

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Solution

The fourth proportional to 156,151, 234,233 and 45,343 is: 68,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,151 : 234,233 = 45,343 : x
  2. Step 2: Convert to fraction form
    156,151/234,233 = 45,343/x
  3. Step 3: Cross multiply
    156,151x = 234,233 × 45,343
  4. Step 4: Simplify right side
    156,151x = 10,620,826,919
  5. Step 5: Solve for x
    x = 10,620,826,919/156,151
  6. Step 6: Final answer
    x = 68,016.39

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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.