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Finding the Fourth Proportional to 120,392.31, 166,143.14 and 69,404.09

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Solution

The fourth proportional to 120,392.31, 166,143.14 and 69,404.09 is: 95,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,392.31 : 166,143.14 = 69,404.09 : x
  2. Step 2: Convert to fraction form
    120,392.31/166,143.14 = 69,404.09/x
  3. Step 3: Cross multiply
    120,392.31x = 166,143.14 × 69,404.09
  4. Step 4: Simplify right side
    120,392.31x = 11,531,012,263.71
  5. Step 5: Solve for x
    x = 11,531,012,263.71/120,392.31
  6. Step 6: Final answer
    x = 95,778.64

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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.