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Finding the Fourth Proportional to 107,983.38, 161,978.87 and 29,099.49

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Solution

The fourth proportional to 107,983.38, 161,978.87 and 29,099.49 is: 43,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,983.38 : 161,978.87 = 29,099.49 : x
  2. Step 2: Convert to fraction form
    107,983.38/161,978.87 = 29,099.49/x
  3. Step 3: Cross multiply
    107,983.38x = 161,978.87 × 29,099.49
  4. Step 4: Simplify right side
    107,983.38x = 4,713,502,362.28
  5. Step 5: Solve for x
    x = 4,713,502,362.28/107,983.38
  6. Step 6: Final answer
    x = 43,650.26

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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.