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Finding the Fourth Proportional to 47,755.64, 65,906.71 and 30,795.19

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Solution

The fourth proportional to 47,755.64, 65,906.71 and 30,795.19 is: 42,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755.64 : 65,906.71 = 30,795.19 : x
  2. Step 2: Convert to fraction form
    47,755.64/65,906.71 = 30,795.19/x
  3. Step 3: Cross multiply
    47,755.64x = 65,906.71 × 30,795.19
  4. Step 4: Simplify right side
    47,755.64x = 2,029,609,414.97
  5. Step 5: Solve for x
    x = 2,029,609,414.97/47,755.64
  6. Step 6: Final answer
    x = 42,499.89

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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.