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Finding the Fourth Proportional to 258,096.96, 387,256.32 and 133,525.44

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Solution

The fourth proportional to 258,096.96, 387,256.32 and 133,525.44 is: 200,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,096.96 : 387,256.32 = 133,525.44 : x
  2. Step 2: Convert to fraction form
    258,096.96/387,256.32 = 133,525.44/x
  3. Step 3: Cross multiply
    258,096.96x = 387,256.32 × 133,525.44
  4. Step 4: Simplify right side
    258,096.96x = 51,708,570,520.78
  5. Step 5: Solve for x
    x = 51,708,570,520.78/258,096.96
  6. Step 6: Final answer
    x = 200,345.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.