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Finding the Fourth Proportional to 138,911.84, 191,697.72 and 75,249.84

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Solution

The fourth proportional to 138,911.84, 191,697.72 and 75,249.84 is: 103,844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,911.84 : 191,697.72 = 75,249.84 : x
  2. Step 2: Convert to fraction form
    138,911.84/191,697.72 = 75,249.84/x
  3. Step 3: Cross multiply
    138,911.84x = 191,697.72 × 75,249.84
  4. Step 4: Simplify right side
    138,911.84x = 14,425,222,758.36
  5. Step 5: Solve for x
    x = 14,425,222,758.36/138,911.84
  6. Step 6: Final answer
    x = 103,844.44

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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.