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Finding the Fourth Proportional to 75,978.31, 113,972.32 and 29,231.18

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Solution

The fourth proportional to 75,978.31, 113,972.32 and 29,231.18 is: 43,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,978.31 : 113,972.32 = 29,231.18 : x
  2. Step 2: Convert to fraction form
    75,978.31/113,972.32 = 29,231.18/x
  3. Step 3: Cross multiply
    75,978.31x = 113,972.32 × 29,231.18
  4. Step 4: Simplify right side
    75,978.31x = 3,331,545,612.79
  5. Step 5: Solve for x
    x = 3,331,545,612.79/75,978.31
  6. Step 6: Final answer
    x = 43,848.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.