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Finding the Fourth Proportional to 203,781.74, 281,219.80 and 127,345.22

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Solution

The fourth proportional to 203,781.74, 281,219.80 and 127,345.22 is: 175,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,781.74 : 281,219.80 = 127,345.22 : x
  2. Step 2: Convert to fraction form
    203,781.74/281,219.80 = 127,345.22/x
  3. Step 3: Cross multiply
    203,781.74x = 281,219.80 × 127,345.22
  4. Step 4: Simplify right side
    203,781.74x = 35,811,997,299.36
  5. Step 5: Solve for x
    x = 35,811,997,299.36/203,781.74
  6. Step 6: Final answer
    x = 175,737.03

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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.