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Finding the Fourth Proportional to 74,853.82, 103,315.64 and 49,364.78

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Solution

The fourth proportional to 74,853.82, 103,315.64 and 49,364.78 is: 68,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,853.82 : 103,315.64 = 49,364.78 : x
  2. Step 2: Convert to fraction form
    74,853.82/103,315.64 = 49,364.78/x
  3. Step 3: Cross multiply
    74,853.82x = 103,315.64 × 49,364.78
  4. Step 4: Simplify right side
    74,853.82x = 5,100,153,850.62
  5. Step 5: Solve for x
    x = 5,100,153,850.62/74,853.82
  6. Step 6: Final answer
    x = 68,134.85

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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.