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Finding the Fourth Proportional to 65,885.78, 90,921.74 and 35,670.33

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Solution

The fourth proportional to 65,885.78, 90,921.74 and 35,670.33 is: 49,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,885.78 : 90,921.74 = 35,670.33 : x
  2. Step 2: Convert to fraction form
    65,885.78/90,921.74 = 35,670.33/x
  3. Step 3: Cross multiply
    65,885.78x = 90,921.74 × 35,670.33
  4. Step 4: Simplify right side
    65,885.78x = 3,243,208,469.97
  5. Step 5: Solve for x
    x = 3,243,208,469.97/65,885.78
  6. Step 6: Final answer
    x = 49,224.71

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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.