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Finding the Fourth Proportional to 149,861.61, 206,806.61 and 81,877.12

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Solution

The fourth proportional to 149,861.61, 206,806.61 and 81,877.12 is: 112,989.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,861.61 : 206,806.61 = 81,877.12 : x
  2. Step 2: Convert to fraction form
    149,861.61/206,806.61 = 81,877.12/x
  3. Step 3: Cross multiply
    149,861.61x = 206,806.61 × 81,877.12
  4. Step 4: Simplify right side
    149,861.61x = 16,932,729,311.44
  5. Step 5: Solve for x
    x = 16,932,729,311.44/149,861.61
  6. Step 6: Final answer
    x = 112,989.11

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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.