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Finding the Fourth Proportional to 318,067.90, 477,101.54 and 81,410.20

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Solution

The fourth proportional to 318,067.90, 477,101.54 and 81,410.20 is: 122,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,067.90 : 477,101.54 = 81,410.20 : x
  2. Step 2: Convert to fraction form
    318,067.90/477,101.54 = 81,410.20/x
  3. Step 3: Cross multiply
    318,067.90x = 477,101.54 × 81,410.20
  4. Step 4: Simplify right side
    318,067.90x = 38,840,930,802.48
  5. Step 5: Solve for x
    x = 38,840,930,802.48/318,067.90
  6. Step 6: Final answer
    x = 122,115.22

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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.