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Finding the Fourth Proportional to 123,989.26, 185,874.74 and 49,161.92

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Solution

The fourth proportional to 123,989.26, 185,874.74 and 49,161.92 is: 73,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,989.26 : 185,874.74 = 49,161.92 : x
  2. Step 2: Convert to fraction form
    123,989.26/185,874.74 = 49,161.92/x
  3. Step 3: Cross multiply
    123,989.26x = 185,874.74 × 49,161.92
  4. Step 4: Simplify right side
    123,989.26x = 9,137,959,097.90
  5. Step 5: Solve for x
    x = 9,137,959,097.90/123,989.26
  6. Step 6: Final answer
    x = 73,699.60

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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.