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Finding the Fourth Proportional to 138,774.36, 191,513.25 and 85,049

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Solution

The fourth proportional to 138,774.36, 191,513.25 and 85,049 is: 117,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,774.36 : 191,513.25 = 85,049 : x
  2. Step 2: Convert to fraction form
    138,774.36/191,513.25 = 85,049/x
  3. Step 3: Cross multiply
    138,774.36x = 191,513.25 × 85,049
  4. Step 4: Simplify right side
    138,774.36x = 16,288,010,399.25
  5. Step 5: Solve for x
    x = 16,288,010,399.25/138,774.36
  6. Step 6: Final answer
    x = 117,370.46

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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.