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Finding the Fourth Proportional to 75,286, 103,893.48 and 41,295.28

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Solution

The fourth proportional to 75,286, 103,893.48 and 41,295.28 is: 56,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,286 : 103,893.48 = 41,295.28 : x
  2. Step 2: Convert to fraction form
    75,286/103,893.48 = 41,295.28/x
  3. Step 3: Cross multiply
    75,286x = 103,893.48 × 41,295.28
  4. Step 4: Simplify right side
    75,286x = 4,290,310,346.77
  5. Step 5: Solve for x
    x = 4,290,310,346.77/75,286
  6. Step 6: Final answer
    x = 56,986.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.