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Finding the Fourth Proportional to 65,792, 90,794.24 and 35,984.64

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Solution

The fourth proportional to 65,792, 90,794.24 and 35,984.64 is: 49,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,792 : 90,794.24 = 35,984.64 : x
  2. Step 2: Convert to fraction form
    65,792/90,794.24 = 35,984.64/x
  3. Step 3: Cross multiply
    65,792x = 90,794.24 × 35,984.64
  4. Step 4: Simplify right side
    65,792x = 3,267,198,040.47
  5. Step 5: Solve for x
    x = 3,267,198,040.47/65,792
  6. Step 6: Final answer
    x = 49,659.50

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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.