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Finding the Fourth Proportional to 71,780.76, 107,694.27 and 21,870.54

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Solution

The fourth proportional to 71,780.76, 107,694.27 and 21,870.54 is: 32,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,780.76 : 107,694.27 = 21,870.54 : x
  2. Step 2: Convert to fraction form
    71,780.76/107,694.27 = 21,870.54/x
  3. Step 3: Cross multiply
    71,780.76x = 107,694.27 × 21,870.54
  4. Step 4: Simplify right side
    71,780.76x = 2,355,331,839.81
  5. Step 5: Solve for x
    x = 2,355,331,839.81/71,780.76
  6. Step 6: Final answer
    x = 32,812.86

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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.