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Finding the Fourth Proportional to 202,188.64, 303,448.16 and 143,081.28

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Solution

The fourth proportional to 202,188.64, 303,448.16 and 143,081.28 is: 214,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,188.64 : 303,448.16 = 143,081.28 : x
  2. Step 2: Convert to fraction form
    202,188.64/303,448.16 = 143,081.28/x
  3. Step 3: Cross multiply
    202,188.64x = 303,448.16 × 143,081.28
  4. Step 4: Simplify right side
    202,188.64x = 43,417,751,146.44
  5. Step 5: Solve for x
    x = 43,417,751,146.44/202,188.64
  6. Step 6: Final answer
    x = 214,738.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.