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Finding the Fourth Proportional to 161,450.84, 242,213.12 and 49,147

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Solution

The fourth proportional to 161,450.84, 242,213.12 and 49,147 is: 73,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,450.84 : 242,213.12 = 49,147 : x
  2. Step 2: Convert to fraction form
    161,450.84/242,213.12 = 49,147/x
  3. Step 3: Cross multiply
    161,450.84x = 242,213.12 × 49,147
  4. Step 4: Simplify right side
    161,450.84x = 11,904,048,208.64
  5. Step 5: Solve for x
    x = 11,904,048,208.64/161,450.84
  6. Step 6: Final answer
    x = 73,731.72

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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.