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Finding the Fourth Proportional to 71,784, 107,676.96 and 22,536

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Solution

The fourth proportional to 71,784, 107,676.96 and 22,536 is: 33,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,784 : 107,676.96 = 22,536 : x
  2. Step 2: Convert to fraction form
    71,784/107,676.96 = 22,536/x
  3. Step 3: Cross multiply
    71,784x = 107,676.96 × 22,536
  4. Step 4: Simplify right side
    71,784x = 2,426,607,970.56
  5. Step 5: Solve for x
    x = 2,426,607,970.56/71,784
  6. Step 6: Final answer
    x = 33,804.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.