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Finding the Fourth Proportional to 71,245, 106,867.50 and 29,692

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Solution

The fourth proportional to 71,245, 106,867.50 and 29,692 is: 44,538

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,245 : 106,867.50 = 29,692 : x
  2. Step 2: Convert to fraction form
    71,245/106,867.50 = 29,692/x
  3. Step 3: Cross multiply
    71,245x = 106,867.50 × 29,692
  4. Step 4: Simplify right side
    71,245x = 3,173,109,810
  5. Step 5: Solve for x
    x = 3,173,109,810/71,245
  6. Step 6: Final answer
    x = 44,538

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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.