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Finding the Fourth Proportional to 71,692.86, 107,538.92 and 18,384.60

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Solution

The fourth proportional to 71,692.86, 107,538.92 and 18,384.60 is: 27,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,692.86 : 107,538.92 = 18,384.60 : x
  2. Step 2: Convert to fraction form
    71,692.86/107,538.92 = 18,384.60/x
  3. Step 3: Cross multiply
    71,692.86x = 107,538.92 × 18,384.60
  4. Step 4: Simplify right side
    71,692.86x = 1,977,059,490.94
  5. Step 5: Solve for x
    x = 1,977,059,490.94/71,692.86
  6. Step 6: Final answer
    x = 27,576.80

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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.