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Finding the Fourth Proportional to 204,811.55, 307,355.64 and 71,692.91

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Solution

The fourth proportional to 204,811.55, 307,355.64 and 71,692.91 is: 107,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,811.55 : 307,355.64 = 71,692.91 : x
  2. Step 2: Convert to fraction form
    204,811.55/307,355.64 = 71,692.91/x
  3. Step 3: Cross multiply
    204,811.55x = 307,355.64 × 71,692.91
  4. Step 4: Simplify right side
    204,811.55x = 22,035,219,878.05
  5. Step 5: Solve for x
    x = 22,035,219,878.05/204,811.55
  6. Step 6: Final answer
    x = 107,587.78

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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.