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Finding the Fourth Proportional to 161,789, 242,731.38 and 82,958.54

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Solution

The fourth proportional to 161,789, 242,731.38 and 82,958.54 is: 124,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,789 : 242,731.38 = 82,958.54 : x
  2. Step 2: Convert to fraction form
    161,789/242,731.38 = 82,958.54/x
  3. Step 3: Cross multiply
    161,789x = 242,731.38 × 82,958.54
  4. Step 4: Simplify right side
    161,789x = 20,136,640,896.99
  5. Step 5: Solve for x
    x = 20,136,640,896.99/161,789
  6. Step 6: Final answer
    x = 124,462.36

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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.