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Finding the Fourth Proportional to 258,863.52, 357,172.56 and 145,644.96

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Solution

The fourth proportional to 258,863.52, 357,172.56 and 145,644.96 is: 200,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,863.52 : 357,172.56 = 145,644.96 : x
  2. Step 2: Convert to fraction form
    258,863.52/357,172.56 = 145,644.96/x
  3. Step 3: Cross multiply
    258,863.52x = 357,172.56 × 145,644.96
  4. Step 4: Simplify right side
    258,863.52x = 52,020,383,214.30
  5. Step 5: Solve for x
    x = 52,020,383,214.30/258,863.52
  6. Step 6: Final answer
    x = 200,956.79

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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.