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Finding the Fourth Proportional to 119,433.96, 164,734.56 and 81,171.05

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Solution

The fourth proportional to 119,433.96, 164,734.56 and 81,171.05 is: 111,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,433.96 : 164,734.56 = 81,171.05 : x
  2. Step 2: Convert to fraction form
    119,433.96/164,734.56 = 81,171.05/x
  3. Step 3: Cross multiply
    119,433.96x = 164,734.56 × 81,171.05
  4. Step 4: Simplify right side
    119,433.96x = 13,371,676,382.82
  5. Step 5: Solve for x
    x = 13,371,676,382.82/119,433.96
  6. Step 6: Final answer
    x = 111,958.75

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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.