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Finding the Fourth Proportional to 156,150, 234,231.48 and 45,342

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Solution

The fourth proportional to 156,150, 234,231.48 and 45,342 is: 68,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,150 : 234,231.48 = 45,342 : x
  2. Step 2: Convert to fraction form
    156,150/234,231.48 = 45,342/x
  3. Step 3: Cross multiply
    156,150x = 234,231.48 × 45,342
  4. Step 4: Simplify right side
    156,150x = 10,620,523,766.16
  5. Step 5: Solve for x
    x = 10,620,523,766.16/156,150
  6. Step 6: Final answer
    x = 68,014.88

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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.