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Finding the Fourth Proportional to 203,642.13, 305,340.38 and 91,301.97

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Solution

The fourth proportional to 203,642.13, 305,340.38 and 91,301.97 is: 136,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,642.13 : 305,340.38 = 91,301.97 : x
  2. Step 2: Convert to fraction form
    203,642.13/305,340.38 = 91,301.97/x
  3. Step 3: Cross multiply
    203,642.13x = 305,340.38 × 91,301.97
  4. Step 4: Simplify right side
    203,642.13x = 27,878,177,758.04
  5. Step 5: Solve for x
    x = 27,878,177,758.04/203,642.13
  6. Step 6: Final answer
    x = 136,897.89

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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.