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Finding the Fourth Proportional to 120,364.32, 166,074.48 and 71,982.08

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Solution

The fourth proportional to 120,364.32, 166,074.48 and 71,982.08 is: 99,318.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,364.32 : 166,074.48 = 71,982.08 : x
  2. Step 2: Convert to fraction form
    120,364.32/166,074.48 = 71,982.08/x
  3. Step 3: Cross multiply
    120,364.32x = 166,074.48 × 71,982.08
  4. Step 4: Simplify right side
    120,364.32x = 11,954,386,505.32
  5. Step 5: Solve for x
    x = 11,954,386,505.32/120,364.32
  6. Step 6: Final answer
    x = 99,318.36

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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.