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Finding the Fourth Proportional to 120,335.86, 166,062.35 and 69,329.86

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Solution

The fourth proportional to 120,335.86, 166,062.35 and 69,329.86 is: 95,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,335.86 : 166,062.35 = 69,329.86 : x
  2. Step 2: Convert to fraction form
    120,335.86/166,062.35 = 69,329.86/x
  3. Step 3: Cross multiply
    120,335.86x = 166,062.35 × 69,329.86
  4. Step 4: Simplify right side
    120,335.86x = 11,513,079,234.94
  5. Step 5: Solve for x
    x = 11,513,079,234.94/120,335.86
  6. Step 6: Final answer
    x = 95,674.55

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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.