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Finding the Fourth Proportional to 78,092.10, 107,738.10 and 51,249.51

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Solution

The fourth proportional to 78,092.10, 107,738.10 and 51,249.51 is: 70,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,092.10 : 107,738.10 = 51,249.51 : x
  2. Step 2: Convert to fraction form
    78,092.10/107,738.10 = 51,249.51/x
  3. Step 3: Cross multiply
    78,092.10x = 107,738.10 × 51,249.51
  4. Step 4: Simplify right side
    78,092.10x = 5,521,524,833.33
  5. Step 5: Solve for x
    x = 5,521,524,833.33/78,092.10
  6. Step 6: Final answer
    x = 70,705.29

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1.5x scale

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.