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Finding the Fourth Proportional to 137,067.84, 189,098.10 and 91,149.48

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Solution

The fourth proportional to 137,067.84, 189,098.10 and 91,149.48 is: 125,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,067.84 : 189,098.10 = 91,149.48 : x
  2. Step 2: Convert to fraction form
    137,067.84/189,098.10 = 91,149.48/x
  3. Step 3: Cross multiply
    137,067.84x = 189,098.10 × 91,149.48
  4. Step 4: Simplify right side
    137,067.84x = 17,236,193,483.99
  5. Step 5: Solve for x
    x = 17,236,193,483.99/137,067.84
  6. Step 6: Final answer
    x = 125,749.36

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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.