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Finding the Fourth Proportional to 208,927.54, 313,405.89 and 90,605.98

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Solution

The fourth proportional to 208,927.54, 313,405.89 and 90,605.98 is: 135,915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,927.54 : 313,405.89 = 90,605.98 : x
  2. Step 2: Convert to fraction form
    208,927.54/313,405.89 = 90,605.98/x
  3. Step 3: Cross multiply
    208,927.54x = 313,405.89 × 90,605.98
  4. Step 4: Simplify right side
    208,927.54x = 28,396,447,801.22
  5. Step 5: Solve for x
    x = 28,396,447,801.22/208,927.54
  6. Step 6: Final answer
    x = 135,915.29

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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.