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Finding the Fourth Proportional to 70,891.68, 106,305.48 and 20,954.52

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Solution

The fourth proportional to 70,891.68, 106,305.48 and 20,954.52 is: 31,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,891.68 : 106,305.48 = 20,954.52 : x
  2. Step 2: Convert to fraction form
    70,891.68/106,305.48 = 20,954.52/x
  3. Step 3: Cross multiply
    70,891.68x = 106,305.48 × 20,954.52
  4. Step 4: Simplify right side
    70,891.68x = 2,227,580,306.77
  5. Step 5: Solve for x
    x = 2,227,580,306.77/70,891.68
  6. Step 6: Final answer
    x = 31,422.31

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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.