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Finding the Fourth Proportional to 85,758.73, 118,351.44 and 51,766.77

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Solution

The fourth proportional to 85,758.73, 118,351.44 and 51,766.77 is: 71,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,758.73 : 118,351.44 = 51,766.77 : x
  2. Step 2: Convert to fraction form
    85,758.73/118,351.44 = 51,766.77/x
  3. Step 3: Cross multiply
    85,758.73x = 118,351.44 × 51,766.77
  4. Step 4: Simplify right side
    85,758.73x = 6,126,672,217.47
  5. Step 5: Solve for x
    x = 6,126,672,217.47/85,758.73
  6. Step 6: Final answer
    x = 71,440.80

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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.