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Finding the Fourth Proportional to 203,542.17, 280,881.56 and 122,955.66

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Solution

The fourth proportional to 203,542.17, 280,881.56 and 122,955.66 is: 169,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,542.17 : 280,881.56 = 122,955.66 : x
  2. Step 2: Convert to fraction form
    203,542.17/280,881.56 = 122,955.66/x
  3. Step 3: Cross multiply
    203,542.17x = 280,881.56 × 122,955.66
  4. Step 4: Simplify right side
    203,542.17x = 34,535,976,976.85
  5. Step 5: Solve for x
    x = 34,535,976,976.85/203,542.17
  6. Step 6: Final answer
    x = 169,674.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.