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Finding the Fourth Proportional to 263,616.71, 363,792.05 and 142,758.05

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Solution

The fourth proportional to 263,616.71, 363,792.05 and 142,758.05 is: 197,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,616.71 : 363,792.05 = 142,758.05 : x
  2. Step 2: Convert to fraction form
    263,616.71/363,792.05 = 142,758.05/x
  3. Step 3: Cross multiply
    263,616.71x = 363,792.05 × 142,758.05
  4. Step 4: Simplify right side
    263,616.71x = 51,934,242,201.44
  5. Step 5: Solve for x
    x = 51,934,242,201.44/263,616.71
  6. Step 6: Final answer
    x = 197,006.64

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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.