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Finding the Fourth Proportional to 120,179.79, 165,847.37 and 66,463.83

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Solution

The fourth proportional to 120,179.79, 165,847.37 and 66,463.83 is: 91,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,179.79 : 165,847.37 = 66,463.83 : x
  2. Step 2: Convert to fraction form
    120,179.79/165,847.37 = 66,463.83/x
  3. Step 3: Cross multiply
    120,179.79x = 165,847.37 × 66,463.83
  4. Step 4: Simplify right side
    120,179.79x = 11,022,851,073.31
  5. Step 5: Solve for x
    x = 11,022,851,073.31/120,179.79
  6. Step 6: Final answer
    x = 91,719.67

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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.