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Finding the Fourth Proportional to 68,632.48, 102,872.22 and 31,136.32

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Solution

The fourth proportional to 68,632.48, 102,872.22 and 31,136.32 is: 46,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,632.48 : 102,872.22 = 31,136.32 : x
  2. Step 2: Convert to fraction form
    68,632.48/102,872.22 = 31,136.32/x
  3. Step 3: Cross multiply
    68,632.48x = 102,872.22 × 31,136.32
  4. Step 4: Simplify right side
    68,632.48x = 3,203,062,361.03
  5. Step 5: Solve for x
    x = 3,203,062,361.03/68,632.48
  6. Step 6: Final answer
    x = 46,669.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.