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Finding the Fourth Proportional to 149,072.52, 205,716.74 and 85,447.80

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Solution

The fourth proportional to 149,072.52, 205,716.74 and 85,447.80 is: 117,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,072.52 : 205,716.74 = 85,447.80 : x
  2. Step 2: Convert to fraction form
    149,072.52/205,716.74 = 85,447.80/x
  3. Step 3: Cross multiply
    149,072.52x = 205,716.74 × 85,447.80
  4. Step 4: Simplify right side
    149,072.52x = 17,578,042,856.17
  5. Step 5: Solve for x
    x = 17,578,042,856.17/149,072.52
  6. Step 6: Final answer
    x = 117,916.05

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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.