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Finding the Fourth Proportional to 103,523.78, 155,287.15 and 68,211.22

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Solution

The fourth proportional to 103,523.78, 155,287.15 and 68,211.22 is: 102,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,523.78 : 155,287.15 = 68,211.22 : x
  2. Step 2: Convert to fraction form
    103,523.78/155,287.15 = 68,211.22/x
  3. Step 3: Cross multiply
    103,523.78x = 155,287.15 × 68,211.22
  4. Step 4: Simplify right side
    103,523.78x = 10,592,325,393.08
  5. Step 5: Solve for x
    x = 10,592,325,393.08/103,523.78
  6. Step 6: Final answer
    x = 102,317.80

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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.