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Finding the Fourth Proportional to 65,728, 90,706.88 and 35,921.92

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Solution

The fourth proportional to 65,728, 90,706.88 and 35,921.92 is: 49,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,728 : 90,706.88 = 35,921.92 : x
  2. Step 2: Convert to fraction form
    65,728/90,706.88 = 35,921.92/x
  3. Step 3: Cross multiply
    65,728x = 90,706.88 × 35,921.92
  4. Step 4: Simplify right side
    65,728x = 3,258,365,286.81
  5. Step 5: Solve for x
    x = 3,258,365,286.81/65,728
  6. Step 6: Final answer
    x = 49,573.47

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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.