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Finding the Fourth Proportional to 72,965.81, 100,692.82 and 39,431.81

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Solution

The fourth proportional to 72,965.81, 100,692.82 and 39,431.81 is: 54,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,965.81 : 100,692.82 = 39,431.81 : x
  2. Step 2: Convert to fraction form
    72,965.81/100,692.82 = 39,431.81/x
  3. Step 3: Cross multiply
    72,965.81x = 100,692.82 × 39,431.81
  4. Step 4: Simplify right side
    72,965.81x = 3,970,500,447.63
  5. Step 5: Solve for x
    x = 3,970,500,447.63/72,965.81
  6. Step 6: Final answer
    x = 54,415.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.