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Finding the Fourth Proportional to 203,231.76, 304,705.08 and 109,798.80

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Solution

The fourth proportional to 203,231.76, 304,705.08 and 109,798.80 is: 164,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,231.76 : 304,705.08 = 109,798.80 : x
  2. Step 2: Convert to fraction form
    203,231.76/304,705.08 = 109,798.80/x
  3. Step 3: Cross multiply
    203,231.76x = 304,705.08 × 109,798.80
  4. Step 4: Simplify right side
    203,231.76x = 33,456,252,137.90
  5. Step 5: Solve for x
    x = 33,456,252,137.90/203,231.76
  6. Step 6: Final answer
    x = 164,621.18

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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.