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Finding the Fourth Proportional to 120,833.67, 166,712.85 and 69,827.82

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Solution

The fourth proportional to 120,833.67, 166,712.85 and 69,827.82 is: 96,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,833.67 : 166,712.85 = 69,827.82 : x
  2. Step 2: Convert to fraction form
    120,833.67/166,712.85 = 69,827.82/x
  3. Step 3: Cross multiply
    120,833.67x = 166,712.85 × 69,827.82
  4. Step 4: Simplify right side
    120,833.67x = 11,641,195,194.07
  5. Step 5: Solve for x
    x = 11,641,195,194.07/120,833.67
  6. Step 6: Final answer
    x = 96,340.65

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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.