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Finding the Fourth Proportional to 120,292.34, 165,996.83 and 68,601.84

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Solution

The fourth proportional to 120,292.34, 165,996.83 and 68,601.84 is: 94,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,292.34 : 165,996.83 = 68,601.84 : x
  2. Step 2: Convert to fraction form
    120,292.34/165,996.83 = 68,601.84/x
  3. Step 3: Cross multiply
    120,292.34x = 165,996.83 × 68,601.84
  4. Step 4: Simplify right side
    120,292.34x = 11,387,687,972.17
  5. Step 5: Solve for x
    x = 11,387,687,972.17/120,292.34
  6. Step 6: Final answer
    x = 94,666.78

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1.5x scale

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.