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Finding the Fourth Proportional to 156,189.70, 234,039.18 and 120,737.86

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Solution

The fourth proportional to 156,189.70, 234,039.18 and 120,737.86 is: 180,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,189.70 : 234,039.18 = 120,737.86 : x
  2. Step 2: Convert to fraction form
    156,189.70/234,039.18 = 120,737.86/x
  3. Step 3: Cross multiply
    156,189.70x = 234,039.18 × 120,737.86
  4. Step 4: Simplify right side
    156,189.70x = 28,257,389,749.35
  5. Step 5: Solve for x
    x = 28,257,389,749.35/156,189.70
  6. Step 6: Final answer
    x = 180,917.11

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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.