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Finding the Fourth Proportional to 138,911.94, 191,699.37 and 75,249.69

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Solution

The fourth proportional to 138,911.94, 191,699.37 and 75,249.69 is: 103,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,911.94 : 191,699.37 = 75,249.69 : x
  2. Step 2: Convert to fraction form
    138,911.94/191,699.37 = 75,249.69/x
  3. Step 3: Cross multiply
    138,911.94x = 191,699.37 × 75,249.69
  4. Step 4: Simplify right side
    138,911.94x = 14,425,317,207.20
  5. Step 5: Solve for x
    x = 14,425,317,207.20/138,911.94
  6. Step 6: Final answer
    x = 103,845.05

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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.