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Finding the Fourth Proportional to 65,751, 90,736.38 and 35,943

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Solution

The fourth proportional to 65,751, 90,736.38 and 35,943 is: 49,601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,751 : 90,736.38 = 35,943 : x
  2. Step 2: Convert to fraction form
    65,751/90,736.38 = 35,943/x
  3. Step 3: Cross multiply
    65,751x = 90,736.38 × 35,943
  4. Step 4: Simplify right side
    65,751x = 3,261,337,706.34
  5. Step 5: Solve for x
    x = 3,261,337,706.34/65,751
  6. Step 6: Final answer
    x = 49,601.34

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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.