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Finding the Fourth Proportional to 65,557, 90,469.74 and 35,749

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Solution

The fourth proportional to 65,557, 90,469.74 and 35,749 is: 49,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,557 : 90,469.74 = 35,749 : x
  2. Step 2: Convert to fraction form
    65,557/90,469.74 = 35,749/x
  3. Step 3: Cross multiply
    65,557x = 90,469.74 × 35,749
  4. Step 4: Simplify right side
    65,557x = 3,234,202,735.26
  5. Step 5: Solve for x
    x = 3,234,202,735.26/65,557
  6. Step 6: Final answer
    x = 49,334.21

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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.