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Finding the Fourth Proportional to 71,156.45, 106,740.08 and 21,232.64

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Solution

The fourth proportional to 71,156.45, 106,740.08 and 21,232.64 is: 31,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,156.45 : 106,740.08 = 21,232.64 : x
  2. Step 2: Convert to fraction form
    71,156.45/106,740.08 = 21,232.64/x
  3. Step 3: Cross multiply
    71,156.45x = 106,740.08 × 21,232.64
  4. Step 4: Simplify right side
    71,156.45x = 2,266,373,692.21
  5. Step 5: Solve for x
    x = 2,266,373,692.21/71,156.45
  6. Step 6: Final answer
    x = 31,850.57

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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.