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Finding the Fourth Proportional to 120,178.54, 165,845.64 and 66,462.58

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Solution

The fourth proportional to 120,178.54, 165,845.64 and 66,462.58 is: 91,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,178.54 : 165,845.64 = 66,462.58 : x
  2. Step 2: Convert to fraction form
    120,178.54/165,845.64 = 66,462.58/x
  3. Step 3: Cross multiply
    120,178.54x = 165,845.64 × 66,462.58
  4. Step 4: Simplify right side
    120,178.54x = 11,022,529,116.15
  5. Step 5: Solve for x
    x = 11,022,529,116.15/120,178.54
  6. Step 6: Final answer
    x = 91,717.95

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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.