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Finding the Fourth Proportional to 263,651.51, 363,838.94 and 142,792.78

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Solution

The fourth proportional to 263,651.51, 363,838.94 and 142,792.78 is: 197,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,651.51 : 363,838.94 = 142,792.78 : x
  2. Step 2: Convert to fraction form
    263,651.51/363,838.94 = 142,792.78/x
  3. Step 3: Cross multiply
    263,651.51x = 363,838.94 × 142,792.78
  4. Step 4: Simplify right side
    263,651.51x = 51,953,571,895.66
  5. Step 5: Solve for x
    x = 51,953,571,895.66/263,651.51
  6. Step 6: Final answer
    x = 197,053.96

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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.