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Finding the Fourth Proportional to 262,100, 361,698.24 and 142,868

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Solution

The fourth proportional to 262,100, 361,698.24 and 142,868 is: 197,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,100 : 361,698.24 = 142,868 : x
  2. Step 2: Convert to fraction form
    262,100/361,698.24 = 142,868/x
  3. Step 3: Cross multiply
    262,100x = 361,698.24 × 142,868
  4. Step 4: Simplify right side
    262,100x = 51,675,104,152.32
  5. Step 5: Solve for x
    x = 51,675,104,152.32/262,100
  6. Step 6: Final answer
    x = 197,157.97

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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.