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Finding the Fourth Proportional to 75,978.78, 113,973.03 and 29,231.64

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Solution

The fourth proportional to 75,978.78, 113,973.03 and 29,231.64 is: 43,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,978.78 : 113,973.03 = 29,231.64 : x
  2. Step 2: Convert to fraction form
    75,978.78/113,973.03 = 29,231.64/x
  3. Step 3: Cross multiply
    75,978.78x = 113,973.03 × 29,231.64
  4. Step 4: Simplify right side
    75,978.78x = 3,331,618,582.67
  5. Step 5: Solve for x
    x = 3,331,618,582.67/75,978.78
  6. Step 6: Final answer
    x = 43,849.33

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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.