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Finding the Fourth Proportional to 61,872.50, 85,406.20 and 36,722

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Solution

The fourth proportional to 61,872.50, 85,406.20 and 36,722 is: 50,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,872.50 : 85,406.20 = 36,722 : x
  2. Step 2: Convert to fraction form
    61,872.50/85,406.20 = 36,722/x
  3. Step 3: Cross multiply
    61,872.50x = 85,406.20 × 36,722
  4. Step 4: Simplify right side
    61,872.50x = 3,136,286,476.40
  5. Step 5: Solve for x
    x = 3,136,286,476.40/61,872.50
  6. Step 6: Final answer
    x = 50,689.51

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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.