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Finding the Fourth Proportional to 71,767, 107,667.90 and 22,519

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Solution

The fourth proportional to 71,767, 107,667.90 and 22,519 is: 33,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,767 : 107,667.90 = 22,519 : x
  2. Step 2: Convert to fraction form
    71,767/107,667.90 = 22,519/x
  3. Step 3: Cross multiply
    71,767x = 107,667.90 × 22,519
  4. Step 4: Simplify right side
    71,767x = 2,424,573,440.10
  5. Step 5: Solve for x
    x = 2,424,573,440.10/71,767
  6. Step 6: Final answer
    x = 33,783.96

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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.