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Finding the Fourth Proportional to 72,965.21, 100,692.06 and 39,431.21

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Solution

The fourth proportional to 72,965.21, 100,692.06 and 39,431.21 is: 54,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,965.21 : 100,692.06 = 39,431.21 : x
  2. Step 2: Convert to fraction form
    72,965.21/100,692.06 = 39,431.21/x
  3. Step 3: Cross multiply
    72,965.21x = 100,692.06 × 39,431.21
  4. Step 4: Simplify right side
    72,965.21x = 3,970,409,763.19
  5. Step 5: Solve for x
    x = 3,970,409,763.19/72,965.21
  6. Step 6: Final answer
    x = 54,415.11

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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.