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Finding the Fourth Proportional to 65,728, 90,704.64 and 35,920

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Solution

The fourth proportional to 65,728, 90,704.64 and 35,920 is: 49,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,728 : 90,704.64 = 35,920 : x
  2. Step 2: Convert to fraction form
    65,728/90,704.64 = 35,920/x
  3. Step 3: Cross multiply
    65,728x = 90,704.64 × 35,920
  4. Step 4: Simplify right side
    65,728x = 3,258,110,668.80
  5. Step 5: Solve for x
    x = 3,258,110,668.80/65,728
  6. Step 6: Final answer
    x = 49,569.60

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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.