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Finding the Fourth Proportional to 200,986.40, 301,042.20 and 121,962.80

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Solution

The fourth proportional to 200,986.40, 301,042.20 and 121,962.80 is: 182,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,986.40 : 301,042.20 = 121,962.80 : x
  2. Step 2: Convert to fraction form
    200,986.40/301,042.20 = 121,962.80/x
  3. Step 3: Cross multiply
    200,986.40x = 301,042.20 × 121,962.80
  4. Step 4: Simplify right side
    200,986.40x = 36,715,949,630.16
  5. Step 5: Solve for x
    x = 36,715,949,630.16/200,986.40
  6. Step 6: Final answer
    x = 182,678.78

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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.