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Finding the Fourth Proportional to 263,138.74, 363,131.44 and 142,280

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Solution

The fourth proportional to 263,138.74, 363,131.44 and 142,280 is: 196,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,138.74 : 363,131.44 = 142,280 : x
  2. Step 2: Convert to fraction form
    263,138.74/363,131.44 = 142,280/x
  3. Step 3: Cross multiply
    263,138.74x = 363,131.44 × 142,280
  4. Step 4: Simplify right side
    263,138.74x = 51,666,341,283.20
  5. Step 5: Solve for x
    x = 51,666,341,283.20/263,138.74
  6. Step 6: Final answer
    x = 196,346.39

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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.