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Finding the Fourth Proportional to 103,866.66, 155,744.62 and 53,896.44

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Solution

The fourth proportional to 103,866.66, 155,744.62 and 53,896.44 is: 80,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,866.66 : 155,744.62 = 53,896.44 : x
  2. Step 2: Convert to fraction form
    103,866.66/155,744.62 = 53,896.44/x
  3. Step 3: Cross multiply
    103,866.66x = 155,744.62 × 53,896.44
  4. Step 4: Simplify right side
    103,866.66x = 8,394,080,567.15
  5. Step 5: Solve for x
    x = 8,394,080,567.15/103,866.66
  6. Step 6: Final answer
    x = 80,815.93

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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.