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Finding the Fourth Proportional to 68,211.77, 102,283.34 and 39,757.86

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Solution

The fourth proportional to 68,211.77, 102,283.34 and 39,757.86 is: 59,616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,211.77 : 102,283.34 = 39,757.86 : x
  2. Step 2: Convert to fraction form
    68,211.77/102,283.34 = 39,757.86/x
  3. Step 3: Cross multiply
    68,211.77x = 102,283.34 × 39,757.86
  4. Step 4: Simplify right side
    68,211.77x = 4,066,566,513.26
  5. Step 5: Solve for x
    x = 4,066,566,513.26/68,211.77
  6. Step 6: Final answer
    x = 59,616.79

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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.