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Finding the Fourth Proportional to 74,558, 102,975.36 and 50,644.64

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Solution

The fourth proportional to 74,558, 102,975.36 and 50,644.64 is: 69,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,558 : 102,975.36 = 50,644.64 : x
  2. Step 2: Convert to fraction form
    74,558/102,975.36 = 50,644.64/x
  3. Step 3: Cross multiply
    74,558x = 102,975.36 × 50,644.64
  4. Step 4: Simplify right side
    74,558x = 5,215,150,036.07
  5. Step 5: Solve for x
    x = 5,215,150,036.07/74,558
  6. Step 6: Final answer
    x = 69,947.56

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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.