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Finding the Fourth Proportional to 203,661.04, 305,392.92 and 119,448.78

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Solution

The fourth proportional to 203,661.04, 305,392.92 and 119,448.78 is: 179,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,661.04 : 305,392.92 = 119,448.78 : x
  2. Step 2: Convert to fraction form
    203,661.04/305,392.92 = 119,448.78/x
  3. Step 3: Cross multiply
    203,661.04x = 305,392.92 × 119,448.78
  4. Step 4: Simplify right side
    203,661.04x = 36,478,811,714.64
  5. Step 5: Solve for x
    x = 36,478,811,714.64/203,661.04
  6. Step 6: Final answer
    x = 179,115.32

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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.