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Finding the Fourth Proportional to 65,884.53, 90,883.54 and 41,678

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Solution

The fourth proportional to 65,884.53, 90,883.54 and 41,678 is: 57,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,884.53 : 90,883.54 = 41,678 : x
  2. Step 2: Convert to fraction form
    65,884.53/90,883.54 = 41,678/x
  3. Step 3: Cross multiply
    65,884.53x = 90,883.54 × 41,678
  4. Step 4: Simplify right side
    65,884.53x = 3,787,844,180.12
  5. Step 5: Solve for x
    x = 3,787,844,180.12/65,884.53
  6. Step 6: Final answer
    x = 57,492.16

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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.