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Finding the Fourth Proportional to 144,608.72, 199,571.40 and 106,542.32

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Solution

The fourth proportional to 144,608.72, 199,571.40 and 106,542.32 is: 147,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,608.72 : 199,571.40 = 106,542.32 : x
  2. Step 2: Convert to fraction form
    144,608.72/199,571.40 = 106,542.32/x
  3. Step 3: Cross multiply
    144,608.72x = 199,571.40 × 106,542.32
  4. Step 4: Simplify right side
    144,608.72x = 21,262,799,961.65
  5. Step 5: Solve for x
    x = 21,262,799,961.65/144,608.72
  6. Step 6: Final answer
    x = 147,036.78

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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.