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Finding the Fourth Proportional to 258,817.68, 387,795.92 and 90,245.07

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Solution

The fourth proportional to 258,817.68, 387,795.92 and 90,245.07 is: 135,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,817.68 : 387,795.92 = 90,245.07 : x
  2. Step 2: Convert to fraction form
    258,817.68/387,795.92 = 90,245.07/x
  3. Step 3: Cross multiply
    258,817.68x = 387,795.92 × 90,245.07
  4. Step 4: Simplify right side
    258,817.68x = 34,996,669,494.89
  5. Step 5: Solve for x
    x = 34,996,669,494.89/258,817.68
  6. Step 6: Final answer
    x = 135,217.46

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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.