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Finding the Fourth Proportional to 71,692.86, 107,539.05 and 18,384.78

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Solution

The fourth proportional to 71,692.86, 107,539.05 and 18,384.78 is: 27,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,692.86 : 107,539.05 = 18,384.78 : x
  2. Step 2: Convert to fraction form
    71,692.86/107,539.05 = 18,384.78/x
  3. Step 3: Cross multiply
    71,692.86x = 107,539.05 × 18,384.78
  4. Step 4: Simplify right side
    71,692.86x = 1,977,081,775.66
  5. Step 5: Solve for x
    x = 1,977,081,775.66/71,692.86
  6. Step 6: Final answer
    x = 27,577.11

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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.