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Finding the Fourth Proportional to 71,067.69, 106,582.95 and 21,134.34

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Solution

The fourth proportional to 71,067.69, 106,582.95 and 21,134.34 is: 31,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,067.69 : 106,582.95 = 21,134.34 : x
  2. Step 2: Convert to fraction form
    71,067.69/106,582.95 = 21,134.34/x
  3. Step 3: Cross multiply
    71,067.69x = 106,582.95 × 21,134.34
  4. Step 4: Simplify right side
    71,067.69x = 2,252,560,303.50
  5. Step 5: Solve for x
    x = 2,252,560,303.50/71,067.69
  6. Step 6: Final answer
    x = 31,695.98

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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.