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Finding the Fourth Proportional to 200,866.07, 301,422.13 and 80,901.02

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Solution

The fourth proportional to 200,866.07, 301,422.13 and 80,901.02 is: 121,401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,866.07 : 301,422.13 = 80,901.02 : x
  2. Step 2: Convert to fraction form
    200,866.07/301,422.13 = 80,901.02/x
  3. Step 3: Cross multiply
    200,866.07x = 301,422.13 × 80,901.02
  4. Step 4: Simplify right side
    200,866.07x = 24,385,358,318.88
  5. Step 5: Solve for x
    x = 24,385,358,318.88/200,866.07
  6. Step 6: Final answer
    x = 121,401.08

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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.