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Finding the Fourth Proportional to 271,374.78, 407,081.67 and 71,692.56

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Solution

The fourth proportional to 271,374.78, 407,081.67 and 71,692.56 is: 107,543.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,374.78 : 407,081.67 = 71,692.56 : x
  2. Step 2: Convert to fraction form
    271,374.78/407,081.67 = 71,692.56/x
  3. Step 3: Cross multiply
    271,374.78x = 407,081.67 × 71,692.56
  4. Step 4: Simplify right side
    271,374.78x = 29,184,727,051.38
  5. Step 5: Solve for x
    x = 29,184,727,051.38/271,374.78
  6. Step 6: Final answer
    x = 107,543.99

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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.