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Finding the Fourth Proportional to 261,896.32, 361,416.96 and 142,664.32

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Solution

The fourth proportional to 261,896.32, 361,416.96 and 142,664.32 is: 196,876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,896.32 : 361,416.96 = 142,664.32 : x
  2. Step 2: Convert to fraction form
    261,896.32/361,416.96 = 142,664.32/x
  3. Step 3: Cross multiply
    261,896.32x = 361,416.96 × 142,664.32
  4. Step 4: Simplify right side
    261,896.32x = 51,561,304,834.87
  5. Step 5: Solve for x
    x = 51,561,304,834.87/261,896.32
  6. Step 6: Final answer
    x = 196,876.78

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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.