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Finding the Fourth Proportional to 82,118.63, 122,865.90 and 50,106.38

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Solution

The fourth proportional to 82,118.63, 122,865.90 and 50,106.38 is: 74,969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,118.63 : 122,865.90 = 50,106.38 : x
  2. Step 2: Convert to fraction form
    82,118.63/122,865.90 = 50,106.38/x
  3. Step 3: Cross multiply
    82,118.63x = 122,865.90 × 50,106.38
  4. Step 4: Simplify right side
    82,118.63x = 6,156,365,474.44
  5. Step 5: Solve for x
    x = 6,156,365,474.44/82,118.63
  6. Step 6: Final answer
    x = 74,969.17

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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.