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Finding the Fourth Proportional to 49,777.29, 68,759.82 and 39,775.86

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Solution

The fourth proportional to 49,777.29, 68,759.82 and 39,775.86 is: 54,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,777.29 : 68,759.82 = 39,775.86 : x
  2. Step 2: Convert to fraction form
    49,777.29/68,759.82 = 39,775.86/x
  3. Step 3: Cross multiply
    49,777.29x = 68,759.82 × 39,775.86
  4. Step 4: Simplify right side
    49,777.29x = 2,734,980,973.95
  5. Step 5: Solve for x
    x = 2,734,980,973.95/49,777.29
  6. Step 6: Final answer
    x = 54,944.35

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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.