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Finding the Fourth Proportional to 82,638, 114,039.60 and 44,912.40

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Solution

The fourth proportional to 82,638, 114,039.60 and 44,912.40 is: 61,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,638 : 114,039.60 = 44,912.40 : x
  2. Step 2: Convert to fraction form
    82,638/114,039.60 = 44,912.40/x
  3. Step 3: Cross multiply
    82,638x = 114,039.60 × 44,912.40
  4. Step 4: Simplify right side
    82,638x = 5,121,792,131.04
  5. Step 5: Solve for x
    x = 5,121,792,131.04/82,638
  6. Step 6: Final answer
    x = 61,978.66

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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.