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Finding the Fourth Proportional to 120,429.50, 166,202.08 and 66,719.48

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Solution

The fourth proportional to 120,429.50, 166,202.08 and 66,719.48 is: 92,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,429.50 : 166,202.08 = 66,719.48 : x
  2. Step 2: Convert to fraction form
    120,429.50/166,202.08 = 66,719.48/x
  3. Step 3: Cross multiply
    120,429.50x = 166,202.08 × 66,719.48
  4. Step 4: Simplify right side
    120,429.50x = 11,088,915,354.71
  5. Step 5: Solve for x
    x = 11,088,915,354.71/120,429.50
  6. Step 6: Final answer
    x = 92,078.07

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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.