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Finding the Fourth Proportional to 61,764, 85,234.32 and 33,469.70

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Solution

The fourth proportional to 61,764, 85,234.32 and 33,469.70 is: 46,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,764 : 85,234.32 = 33,469.70 : x
  2. Step 2: Convert to fraction form
    61,764/85,234.32 = 33,469.70/x
  3. Step 3: Cross multiply
    61,764x = 85,234.32 × 33,469.70
  4. Step 4: Simplify right side
    61,764x = 2,852,766,693.93
  5. Step 5: Solve for x
    x = 2,852,766,693.93/61,764
  6. Step 6: Final answer
    x = 46,188.18

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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.