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Finding the Fourth Proportional to 132,180, 182,406.60 and 71,750.76

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Solution

The fourth proportional to 132,180, 182,406.60 and 71,750.76 is: 99,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,180 : 182,406.60 = 71,750.76 : x
  2. Step 2: Convert to fraction form
    132,180/182,406.60 = 71,750.76/x
  3. Step 3: Cross multiply
    132,180x = 182,406.60 × 71,750.76
  4. Step 4: Simplify right side
    132,180x = 13,087,812,179.02
  5. Step 5: Solve for x
    x = 13,087,812,179.02/132,180
  6. Step 6: Final answer
    x = 99,015.07

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Why These Related Problems?

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