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Finding the Fourth Proportional to 205,372.40, 308,067.24 and 65,136.88

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Solution

The fourth proportional to 205,372.40, 308,067.24 and 65,136.88 is: 97,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,372.40 : 308,067.24 = 65,136.88 : x
  2. Step 2: Convert to fraction form
    205,372.40/308,067.24 = 65,136.88/x
  3. Step 3: Cross multiply
    205,372.40x = 308,067.24 × 65,136.88
  4. Step 4: Simplify right side
    205,372.40x = 20,066,538,843.81
  5. Step 5: Solve for x
    x = 20,066,538,843.81/205,372.40
  6. Step 6: Final answer
    x = 97,708.06

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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.