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Finding the Fourth Proportional to 151,147, 226,720.50 and 40,339

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Solution

The fourth proportional to 151,147, 226,720.50 and 40,339 is: 60,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,147 : 226,720.50 = 40,339 : x
  2. Step 2: Convert to fraction form
    151,147/226,720.50 = 40,339/x
  3. Step 3: Cross multiply
    151,147x = 226,720.50 × 40,339
  4. Step 4: Simplify right side
    151,147x = 9,145,678,249.50
  5. Step 5: Solve for x
    x = 9,145,678,249.50/151,147
  6. Step 6: Final answer
    x = 60,508.50

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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.