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Finding the Fourth Proportional to 53,826, 74,279.88 and 30,274

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Solution

The fourth proportional to 53,826, 74,279.88 and 30,274 is: 41,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,826 : 74,279.88 = 30,274 : x
  2. Step 2: Convert to fraction form
    53,826/74,279.88 = 30,274/x
  3. Step 3: Cross multiply
    53,826x = 74,279.88 × 30,274
  4. Step 4: Simplify right side
    53,826x = 2,248,749,087.12
  5. Step 5: Solve for x
    x = 2,248,749,087.12/53,826
  6. Step 6: Final answer
    x = 41,778.12

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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.