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Finding the Fourth Proportional to 156,408.60, 234,610.70 and 38,080.20

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Solution

The fourth proportional to 156,408.60, 234,610.70 and 38,080.20 is: 57,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,408.60 : 234,610.70 = 38,080.20 : x
  2. Step 2: Convert to fraction form
    156,408.60/234,610.70 = 38,080.20/x
  3. Step 3: Cross multiply
    156,408.60x = 234,610.70 × 38,080.20
  4. Step 4: Simplify right side
    156,408.60x = 8,934,022,378.14
  5. Step 5: Solve for x
    x = 8,934,022,378.14/156,408.60
  6. Step 6: Final answer
    x = 57,119.76

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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.