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Finding the Fourth Proportional to 65,704.89, 98,627.48 and 28,283.49

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Solution

The fourth proportional to 65,704.89, 98,627.48 and 28,283.49 is: 42,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,704.89 : 98,627.48 = 28,283.49 : x
  2. Step 2: Convert to fraction form
    65,704.89/98,627.48 = 28,283.49/x
  3. Step 3: Cross multiply
    65,704.89x = 98,627.48 × 28,283.49
  4. Step 4: Simplify right side
    65,704.89x = 2,789,529,202.89
  5. Step 5: Solve for x
    x = 2,789,529,202.89/65,704.89
  6. Step 6: Final answer
    x = 42,455.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.