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Finding the Fourth Proportional to 119,193.11, 178,789.49 and 30,446.64

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Solution

The fourth proportional to 119,193.11, 178,789.49 and 30,446.64 is: 45,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,193.11 : 178,789.49 = 30,446.64 : x
  2. Step 2: Convert to fraction form
    119,193.11/178,789.49 = 30,446.64/x
  3. Step 3: Cross multiply
    119,193.11x = 178,789.49 × 30,446.64
  4. Step 4: Simplify right side
    119,193.11x = 5,443,539,199.76
  5. Step 5: Solve for x
    x = 5,443,539,199.76/119,193.11
  6. Step 6: Final answer
    x = 45,669.92

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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.