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Finding the Fourth Proportional to 200,809.20, 301,197.48 and 67,686.60

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Solution

The fourth proportional to 200,809.20, 301,197.48 and 67,686.60 is: 101,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,809.20 : 301,197.48 = 67,686.60 : x
  2. Step 2: Convert to fraction form
    200,809.20/301,197.48 = 67,686.60/x
  3. Step 3: Cross multiply
    200,809.20x = 301,197.48 × 67,686.60
  4. Step 4: Simplify right side
    200,809.20x = 20,387,033,349.77
  5. Step 5: Solve for x
    x = 20,387,033,349.77/200,809.20
  6. Step 6: Final answer
    x = 101,524.40

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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.