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Finding the Fourth Proportional to 78,175.93, 107,843.13 and 49,447.20

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Solution

The fourth proportional to 78,175.93, 107,843.13 and 49,447.20 is: 68,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,175.93 : 107,843.13 = 49,447.20 : x
  2. Step 2: Convert to fraction form
    78,175.93/107,843.13 = 49,447.20/x
  3. Step 3: Cross multiply
    78,175.93x = 107,843.13 × 49,447.20
  4. Step 4: Simplify right side
    78,175.93x = 5,332,540,278.52
  5. Step 5: Solve for x
    x = 5,332,540,278.52/78,175.93
  6. Step 6: Final answer
    x = 68,212.05

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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.