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Finding the Fourth Proportional to 120,486.95, 166,289.92 and 69,490.16

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Solution

The fourth proportional to 120,486.95, 166,289.92 and 69,490.16 is: 95,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,486.95 : 166,289.92 = 69,490.16 : x
  2. Step 2: Convert to fraction form
    120,486.95/166,289.92 = 69,490.16/x
  3. Step 3: Cross multiply
    120,486.95x = 166,289.92 × 69,490.16
  4. Step 4: Simplify right side
    120,486.95x = 11,555,512,142.01
  5. Step 5: Solve for x
    x = 11,555,512,142.01/120,486.95
  6. Step 6: Final answer
    x = 95,906.76

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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.