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Finding the Fourth Proportional to 138,404, 190,997.53 and 74,741.80

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Solution

The fourth proportional to 138,404, 190,997.53 and 74,741.80 is: 103,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,404 : 190,997.53 = 74,741.80 : x
  2. Step 2: Convert to fraction form
    138,404/190,997.53 = 74,741.80/x
  3. Step 3: Cross multiply
    138,404x = 190,997.53 × 74,741.80
  4. Step 4: Simplify right side
    138,404x = 14,275,498,814.05
  5. Step 5: Solve for x
    x = 14,275,498,814.05/138,404
  6. Step 6: Final answer
    x = 103,143.69

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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.