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Finding the Fourth Proportional to 71,105.41, 106,635.43 and 28,985.41

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Solution

The fourth proportional to 71,105.41, 106,635.43 and 28,985.41 is: 43,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,105.41 : 106,635.43 = 28,985.41 : x
  2. Step 2: Convert to fraction form
    71,105.41/106,635.43 = 28,985.41/x
  3. Step 3: Cross multiply
    71,105.41x = 106,635.43 × 28,985.41
  4. Step 4: Simplify right side
    71,105.41x = 3,090,871,659.08
  5. Step 5: Solve for x
    x = 3,090,871,659.08/71,105.41
  6. Step 6: Final answer
    x = 43,468.87

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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.