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Finding the Fourth Proportional to 53,797, 74,239.86 and 30,245

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Solution

The fourth proportional to 53,797, 74,239.86 and 30,245 is: 41,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,797 : 74,239.86 = 30,245 : x
  2. Step 2: Convert to fraction form
    53,797/74,239.86 = 30,245/x
  3. Step 3: Cross multiply
    53,797x = 74,239.86 × 30,245
  4. Step 4: Simplify right side
    53,797x = 2,245,384,565.70
  5. Step 5: Solve for x
    x = 2,245,384,565.70/53,797
  6. Step 6: Final answer
    x = 41,738.10

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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.