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Finding the Fourth Proportional to 123,701, 185,305.74 and 61,180.68

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Solution

The fourth proportional to 123,701, 185,305.74 and 61,180.68 is: 91,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,701 : 185,305.74 = 61,180.68 : x
  2. Step 2: Convert to fraction form
    123,701/185,305.74 = 61,180.68/x
  3. Step 3: Cross multiply
    123,701x = 185,305.74 × 61,180.68
  4. Step 4: Simplify right side
    123,701x = 11,337,131,181.10
  5. Step 5: Solve for x
    x = 11,337,131,181.10/123,701
  6. Step 6: Final answer
    x = 91,649.47

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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.