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Finding the Fourth Proportional to 61,780.98, 85,257.42 and 33,486.60

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Solution

The fourth proportional to 61,780.98, 85,257.42 and 33,486.60 is: 46,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,780.98 : 85,257.42 = 33,486.60 : x
  2. Step 2: Convert to fraction form
    61,780.98/85,257.42 = 33,486.60/x
  3. Step 3: Cross multiply
    61,780.98x = 85,257.42 × 33,486.60
  4. Step 4: Simplify right side
    61,780.98x = 2,854,981,120.57
  5. Step 5: Solve for x
    x = 2,854,981,120.57/61,780.98
  6. Step 6: Final answer
    x = 46,211.33

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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.