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Finding the Fourth Proportional to 71,913.41, 107,870.67 and 21,994.41

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Solution

The fourth proportional to 71,913.41, 107,870.67 and 21,994.41 is: 32,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,913.41 : 107,870.67 = 21,994.41 : x
  2. Step 2: Convert to fraction form
    71,913.41/107,870.67 = 21,994.41/x
  3. Step 3: Cross multiply
    71,913.41x = 107,870.67 × 21,994.41
  4. Step 4: Simplify right side
    71,913.41x = 2,372,551,742.95
  5. Step 5: Solve for x
    x = 2,372,551,742.95/71,913.41
  6. Step 6: Final answer
    x = 32,991.79

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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.