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Finding the Fourth Proportional to 227,121.54, 340,578.50 and 84,862.50

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Solution

The fourth proportional to 227,121.54, 340,578.50 and 84,862.50 is: 127,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,121.54 : 340,578.50 = 84,862.50 : x
  2. Step 2: Convert to fraction form
    227,121.54/340,578.50 = 84,862.50/x
  3. Step 3: Cross multiply
    227,121.54x = 340,578.50 × 84,862.50
  4. Step 4: Simplify right side
    227,121.54x = 28,902,342,531.94
  5. Step 5: Solve for x
    x = 28,902,342,531.94/227,121.54
  6. Step 6: Final answer
    x = 127,254.96

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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.