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Finding the Fourth Proportional to 120,647.17, 166,507.86 and 69,659.82

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Solution

The fourth proportional to 120,647.17, 166,507.86 and 69,659.82 is: 96,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,647.17 : 166,507.86 = 69,659.82 : x
  2. Step 2: Convert to fraction form
    120,647.17/166,507.86 = 69,659.82/x
  3. Step 3: Cross multiply
    120,647.17x = 166,507.86 × 69,659.82
  4. Step 4: Simplify right side
    120,647.17x = 11,598,906,919.04
  5. Step 5: Solve for x
    x = 11,598,906,919.04/120,647.17
  6. Step 6: Final answer
    x = 96,139.07

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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.