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Finding the Fourth Proportional to 76,242, 105,250.44 and 50,791

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Solution

The fourth proportional to 76,242, 105,250.44 and 50,791 is: 70,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,242 : 105,250.44 = 50,791 : x
  2. Step 2: Convert to fraction form
    76,242/105,250.44 = 50,791/x
  3. Step 3: Cross multiply
    76,242x = 105,250.44 × 50,791
  4. Step 4: Simplify right side
    76,242x = 5,345,775,098.04
  5. Step 5: Solve for x
    x = 5,345,775,098.04/76,242
  6. Step 6: Final answer
    x = 70,115.88

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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.