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Finding the Fourth Proportional to 73,071.36, 100,906.64 and 53,782

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Solution

The fourth proportional to 73,071.36, 100,906.64 and 53,782 is: 74,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,071.36 : 100,906.64 = 53,782 : x
  2. Step 2: Convert to fraction form
    73,071.36/100,906.64 = 53,782/x
  3. Step 3: Cross multiply
    73,071.36x = 100,906.64 × 53,782
  4. Step 4: Simplify right side
    73,071.36x = 5,426,960,912.48
  5. Step 5: Solve for x
    x = 5,426,960,912.48/73,071.36
  6. Step 6: Final answer
    x = 74,269.33

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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.