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Finding the Fourth Proportional to 156,434.16, 234,721 and 72,149

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Solution

The fourth proportional to 156,434.16, 234,721 and 72,149 is: 108,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,434.16 : 234,721 = 72,149 : x
  2. Step 2: Convert to fraction form
    156,434.16/234,721 = 72,149/x
  3. Step 3: Cross multiply
    156,434.16x = 234,721 × 72,149
  4. Step 4: Simplify right side
    156,434.16x = 16,934,885,429
  5. Step 5: Solve for x
    x = 16,934,885,429/156,434.16
  6. Step 6: Final answer
    x = 108,255.67

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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.