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Finding the Fourth Proportional to 200,908.12, 301,403.62 and 65,982.36

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Solution

The fourth proportional to 200,908.12, 301,403.62 and 65,982.36 is: 98,987.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,908.12 : 301,403.62 = 65,982.36 : x
  2. Step 2: Convert to fraction form
    200,908.12/301,403.62 = 65,982.36/x
  3. Step 3: Cross multiply
    200,908.12x = 301,403.62 × 65,982.36
  4. Step 4: Simplify right side
    200,908.12x = 19,887,322,160.14
  5. Step 5: Solve for x
    x = 19,887,322,160.14/200,908.12
  6. Step 6: Final answer
    x = 98,987.15

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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.