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Finding the Fourth Proportional to 156,224, 234,375.96 and 45,416

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Solution

The fourth proportional to 156,224, 234,375.96 and 45,416 is: 68,135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,224 : 234,375.96 = 45,416 : x
  2. Step 2: Convert to fraction form
    156,224/234,375.96 = 45,416/x
  3. Step 3: Cross multiply
    156,224x = 234,375.96 × 45,416
  4. Step 4: Simplify right side
    156,224x = 10,644,418,599.36
  5. Step 5: Solve for x
    x = 10,644,418,599.36/156,224
  6. Step 6: Final answer
    x = 68,135.62

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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.