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Finding the Fourth Proportional to 258,653.22, 387,956.76 and 90,144.88

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Solution

The fourth proportional to 258,653.22, 387,956.76 and 90,144.88 is: 135,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,653.22 : 387,956.76 = 90,144.88 : x
  2. Step 2: Convert to fraction form
    258,653.22/387,956.76 = 90,144.88/x
  3. Step 3: Cross multiply
    258,653.22x = 387,956.76 × 90,144.88
  4. Step 4: Simplify right side
    258,653.22x = 34,972,315,575.39
  5. Step 5: Solve for x
    x = 34,972,315,575.39/258,653.22
  6. Step 6: Final answer
    x = 135,209.28

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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.