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Finding the Fourth Proportional to 125,629.86, 173,299.03 and 77,198.14

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Solution

The fourth proportional to 125,629.86, 173,299.03 and 77,198.14 is: 106,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,629.86 : 173,299.03 = 77,198.14 : x
  2. Step 2: Convert to fraction form
    125,629.86/173,299.03 = 77,198.14/x
  3. Step 3: Cross multiply
    125,629.86x = 173,299.03 × 77,198.14
  4. Step 4: Simplify right side
    125,629.86x = 13,378,362,153.56
  5. Step 5: Solve for x
    x = 13,378,362,153.56/125,629.86
  6. Step 6: Final answer
    x = 106,490.31

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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.