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Finding the Fourth Proportional to 203,422.52, 305,092.04 and 77,019.26

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Solution

The fourth proportional to 203,422.52, 305,092.04 and 77,019.26 is: 115,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,422.52 : 305,092.04 = 77,019.26 : x
  2. Step 2: Convert to fraction form
    203,422.52/305,092.04 = 77,019.26/x
  3. Step 3: Cross multiply
    203,422.52x = 305,092.04 × 77,019.26
  4. Step 4: Simplify right side
    203,422.52x = 23,497,961,242.13
  5. Step 5: Solve for x
    x = 23,497,961,242.13/203,422.52
  6. Step 6: Final answer
    x = 115,513.08

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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.