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Finding the Fourth Proportional to 65,729, 90,706.02 and 35,921

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Solution

The fourth proportional to 65,729, 90,706.02 and 35,921 is: 49,570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,729 : 90,706.02 = 35,921 : x
  2. Step 2: Convert to fraction form
    65,729/90,706.02 = 35,921/x
  3. Step 3: Cross multiply
    65,729x = 90,706.02 × 35,921
  4. Step 4: Simplify right side
    65,729x = 3,258,250,944.42
  5. Step 5: Solve for x
    x = 3,258,250,944.42/65,729
  6. Step 6: Final answer
    x = 49,570.98

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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.