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Finding the Fourth Proportional to 258,638.43, 387,994.05 and 90,134.54

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Solution

The fourth proportional to 258,638.43, 387,994.05 and 90,134.54 is: 135,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,638.43 : 387,994.05 = 90,134.54 : x
  2. Step 2: Convert to fraction form
    258,638.43/387,994.05 = 90,134.54/x
  3. Step 3: Cross multiply
    258,638.43x = 387,994.05 × 90,134.54
  4. Step 4: Simplify right side
    258,638.43x = 34,971,664,734.49
  5. Step 5: Solve for x
    x = 34,971,664,734.49/258,638.43
  6. Step 6: Final answer
    x = 135,214.49

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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.