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Finding the Fourth Proportional to 132,178.82, 182,410 and 71,749.30

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Solution

The fourth proportional to 132,178.82, 182,410 and 71,749.30 is: 99,015.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,178.82 : 182,410 = 71,749.30 : x
  2. Step 2: Convert to fraction form
    132,178.82/182,410 = 71,749.30/x
  3. Step 3: Cross multiply
    132,178.82x = 182,410 × 71,749.30
  4. Step 4: Simplify right side
    132,178.82x = 13,087,789,813
  5. Step 5: Solve for x
    x = 13,087,789,813/132,178.82
  6. Step 6: Final answer
    x = 99,015.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.