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Finding the Fourth Proportional to 68,835.30, 103,211.41 and 30,877.64

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Solution

The fourth proportional to 68,835.30, 103,211.41 and 30,877.64 is: 46,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,835.30 : 103,211.41 = 30,877.64 : x
  2. Step 2: Convert to fraction form
    68,835.30/103,211.41 = 30,877.64/x
  3. Step 3: Cross multiply
    68,835.30x = 103,211.41 × 30,877.64
  4. Step 4: Simplify right side
    68,835.30x = 3,186,924,761.87
  5. Step 5: Solve for x
    x = 3,186,924,761.87/68,835.30
  6. Step 6: Final answer
    x = 46,297.83

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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.