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Finding the Fourth Proportional to 123,896.20, 185,844.30 and 102,026.20

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Solution

The fourth proportional to 123,896.20, 185,844.30 and 102,026.20 is: 153,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,896.20 : 185,844.30 = 102,026.20 : x
  2. Step 2: Convert to fraction form
    123,896.20/185,844.30 = 102,026.20/x
  3. Step 3: Cross multiply
    123,896.20x = 185,844.30 × 102,026.20
  4. Step 4: Simplify right side
    123,896.20x = 18,960,987,720.66
  5. Step 5: Solve for x
    x = 18,960,987,720.66/123,896.20
  6. Step 6: Final answer
    x = 153,039.30

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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.