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Finding the Fourth Proportional to 75,925.50, 113,893.92 and 29,178.78

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Solution

The fourth proportional to 75,925.50, 113,893.92 and 29,178.78 is: 43,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,925.50 : 113,893.92 = 29,178.78 : x
  2. Step 2: Convert to fraction form
    75,925.50/113,893.92 = 29,178.78/x
  3. Step 3: Cross multiply
    75,925.50x = 113,893.92 × 29,178.78
  4. Step 4: Simplify right side
    75,925.50x = 3,323,285,635.02
  5. Step 5: Solve for x
    x = 3,323,285,635.02/75,925.50
  6. Step 6: Final answer
    x = 43,770.35

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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.