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Finding the Fourth Proportional to 107,993.15, 161,978.78 and 29,115.35

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Solution

The fourth proportional to 107,993.15, 161,978.78 and 29,115.35 is: 43,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,993.15 : 161,978.78 = 29,115.35 : x
  2. Step 2: Convert to fraction form
    107,993.15/161,978.78 = 29,115.35/x
  3. Step 3: Cross multiply
    107,993.15x = 161,978.78 × 29,115.35
  4. Step 4: Simplify right side
    107,993.15x = 4,716,067,916.80
  5. Step 5: Solve for x
    x = 4,716,067,916.80/107,993.15
  6. Step 6: Final answer
    x = 43,670.07

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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.