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Finding the Fourth Proportional to 105,696.93, 145,747.83 and 80,249.97

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Solution

The fourth proportional to 105,696.93, 145,747.83 and 80,249.97 is: 110,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,696.93 : 145,747.83 = 80,249.97 : x
  2. Step 2: Convert to fraction form
    105,696.93/145,747.83 = 80,249.97/x
  3. Step 3: Cross multiply
    105,696.93x = 145,747.83 × 80,249.97
  4. Step 4: Simplify right side
    105,696.93x = 11,696,258,985.07
  5. Step 5: Solve for x
    x = 11,696,258,985.07/105,696.93
  6. Step 6: Final answer
    x = 110,658.46

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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.