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Finding the Fourth Proportional to 491,067, 736,598.40 and 136,080

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Solution

The fourth proportional to 491,067, 736,598.40 and 136,080 is: 204,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,067 : 736,598.40 = 136,080 : x
  2. Step 2: Convert to fraction form
    491,067/736,598.40 = 136,080/x
  3. Step 3: Cross multiply
    491,067x = 736,598.40 × 136,080
  4. Step 4: Simplify right side
    491,067x = 100,236,310,272
  5. Step 5: Solve for x
    x = 100,236,310,272/491,067
  6. Step 6: Final answer
    x = 204,119.42

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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.