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Finding the Fourth Proportional to 76,418.80, 114,628.20 and 72,044.80

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Solution

The fourth proportional to 76,418.80, 114,628.20 and 72,044.80 is: 108,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,418.80 : 114,628.20 = 72,044.80 : x
  2. Step 2: Convert to fraction form
    76,418.80/114,628.20 = 72,044.80/x
  3. Step 3: Cross multiply
    76,418.80x = 114,628.20 × 72,044.80
  4. Step 4: Simplify right side
    76,418.80x = 8,258,365,743.36
  5. Step 5: Solve for x
    x = 8,258,365,743.36/76,418.80
  6. Step 6: Final answer
    x = 108,067.20

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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.