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Finding the Fourth Proportional to 156,147, 234,226.98 and 45,339

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Solution

The fourth proportional to 156,147, 234,226.98 and 45,339 is: 68,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,147 : 234,226.98 = 45,339 : x
  2. Step 2: Convert to fraction form
    156,147/234,226.98 = 45,339/x
  3. Step 3: Cross multiply
    156,147x = 234,226.98 × 45,339
  4. Step 4: Simplify right side
    156,147x = 10,619,617,046.22
  5. Step 5: Solve for x
    x = 10,619,617,046.22/156,147
  6. Step 6: Final answer
    x = 68,010.38

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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.