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Finding the Fourth Proportional to 61,890, 85,419 and 36,738.96

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Solution

The fourth proportional to 61,890, 85,419 and 36,738.96 is: 50,706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,890 : 85,419 = 36,738.96 : x
  2. Step 2: Convert to fraction form
    61,890/85,419 = 36,738.96/x
  3. Step 3: Cross multiply
    61,890x = 85,419 × 36,738.96
  4. Step 4: Simplify right side
    61,890x = 3,138,205,224.24
  5. Step 5: Solve for x
    x = 3,138,205,224.24/61,890
  6. Step 6: Final answer
    x = 50,706.18

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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.