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Finding the Fourth Proportional to 62,915.50, 86,824 and 34,621.80

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Solution

The fourth proportional to 62,915.50, 86,824 and 34,621.80 is: 47,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,915.50 : 86,824 = 34,621.80 : x
  2. Step 2: Convert to fraction form
    62,915.50/86,824 = 34,621.80/x
  3. Step 3: Cross multiply
    62,915.50x = 86,824 × 34,621.80
  4. Step 4: Simplify right side
    62,915.50x = 3,006,003,163.20
  5. Step 5: Solve for x
    x = 3,006,003,163.20/62,915.50
  6. Step 6: Final answer
    x = 47,778.42

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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.