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Finding the Fourth Proportional to 148,969.75, 205,578.26 and 81,901.75

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Solution

The fourth proportional to 148,969.75, 205,578.26 and 81,901.75 is: 113,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,969.75 : 205,578.26 = 81,901.75 : x
  2. Step 2: Convert to fraction form
    148,969.75/205,578.26 = 81,901.75/x
  3. Step 3: Cross multiply
    148,969.75x = 205,578.26 × 81,901.75
  4. Step 4: Simplify right side
    148,969.75x = 16,837,219,255.96
  5. Step 5: Solve for x
    x = 16,837,219,255.96/148,969.75
  6. Step 6: Final answer
    x = 113,024.42

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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.