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Finding the Fourth Proportional to 144,509.56, 199,430.94 and 80,843.56

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Solution

The fourth proportional to 144,509.56, 199,430.94 and 80,843.56 is: 111,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,509.56 : 199,430.94 = 80,843.56 : x
  2. Step 2: Convert to fraction form
    144,509.56/199,430.94 = 80,843.56/x
  3. Step 3: Cross multiply
    144,509.56x = 199,430.94 × 80,843.56
  4. Step 4: Simplify right side
    144,509.56x = 16,122,707,163.75
  5. Step 5: Solve for x
    x = 16,122,707,163.75/144,509.56
  6. Step 6: Final answer
    x = 111,568.45

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1.5x scale

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.