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Finding the Fourth Proportional to 200,909.12, 301,405.12 and 65,983.36

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Solution

The fourth proportional to 200,909.12, 301,405.12 and 65,983.36 is: 98,988.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,909.12 : 301,405.12 = 65,983.36 : x
  2. Step 2: Convert to fraction form
    200,909.12/301,405.12 = 65,983.36/x
  3. Step 3: Cross multiply
    200,909.12x = 301,405.12 × 65,983.36
  4. Step 4: Simplify right side
    200,909.12x = 19,887,722,538.80
  5. Step 5: Solve for x
    x = 19,887,722,538.80/200,909.12
  6. Step 6: Final answer
    x = 98,988.65

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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.