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Finding the Fourth Proportional to 47,138.16, 65,046.48 and 25,917

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Solution

The fourth proportional to 47,138.16, 65,046.48 and 25,917 is: 35,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,138.16 : 65,046.48 = 25,917 : x
  2. Step 2: Convert to fraction form
    47,138.16/65,046.48 = 25,917/x
  3. Step 3: Cross multiply
    47,138.16x = 65,046.48 × 25,917
  4. Step 4: Simplify right side
    47,138.16x = 1,685,809,622.16
  5. Step 5: Solve for x
    x = 1,685,809,622.16/47,138.16
  6. Step 6: Final answer
    x = 35,763.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.