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Finding the Fourth Proportional to 120,524.71, 166,306.62 and 66,809.71

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Solution

The fourth proportional to 120,524.71, 166,306.62 and 66,809.71 is: 92,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,524.71 : 166,306.62 = 66,809.71 : x
  2. Step 2: Convert to fraction form
    120,524.71/166,306.62 = 66,809.71/x
  3. Step 3: Cross multiply
    120,524.71x = 166,306.62 × 66,809.71
  4. Step 4: Simplify right side
    120,524.71x = 11,110,897,053.28
  5. Step 5: Solve for x
    x = 11,110,897,053.28/120,524.71
  6. Step 6: Final answer
    x = 92,187.71

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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.