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Finding the Fourth Proportional to 228,147.89, 342,270 and 85,990.14

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Solution

The fourth proportional to 228,147.89, 342,270 and 85,990.14 is: 129,003.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,147.89 : 342,270 = 85,990.14 : x
  2. Step 2: Convert to fraction form
    228,147.89/342,270 = 85,990.14/x
  3. Step 3: Cross multiply
    228,147.89x = 342,270 × 85,990.14
  4. Step 4: Simplify right side
    228,147.89x = 29,431,845,217.80
  5. Step 5: Solve for x
    x = 29,431,845,217.80/228,147.89
  6. Step 6: Final answer
    x = 129,003.37

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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.