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Finding the Fourth Proportional to 156,540.80, 234,845.22 and 51,355.82

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Solution

The fourth proportional to 156,540.80, 234,845.22 and 51,355.82 is: 77,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,540.80 : 234,845.22 = 51,355.82 : x
  2. Step 2: Convert to fraction form
    156,540.80/234,845.22 = 51,355.82/x
  3. Step 3: Cross multiply
    156,540.80x = 234,845.22 × 51,355.82
  4. Step 4: Simplify right side
    156,540.80x = 12,060,669,625.88
  5. Step 5: Solve for x
    x = 12,060,669,625.88/156,540.80
  6. Step 6: Final answer
    x = 77,044.89

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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.