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Finding the Fourth Proportional to 203,820.69, 305,398.12 and 123,883.10

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Solution

The fourth proportional to 203,820.69, 305,398.12 and 123,883.10 is: 185,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,820.69 : 305,398.12 = 123,883.10 : x
  2. Step 2: Convert to fraction form
    203,820.69/305,398.12 = 123,883.10/x
  3. Step 3: Cross multiply
    203,820.69x = 305,398.12 × 123,883.10
  4. Step 4: Simplify right side
    203,820.69x = 37,833,666,293.56
  5. Step 5: Solve for x
    x = 37,833,666,293.56/203,820.69
  6. Step 6: Final answer
    x = 185,622.31

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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.