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Finding the Fourth Proportional to 65,735.32, 90,678 and 43,078

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Solution

The fourth proportional to 65,735.32, 90,678 and 43,078 is: 59,423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,735.32 : 90,678 = 43,078 : x
  2. Step 2: Convert to fraction form
    65,735.32/90,678 = 43,078/x
  3. Step 3: Cross multiply
    65,735.32x = 90,678 × 43,078
  4. Step 4: Simplify right side
    65,735.32x = 3,906,226,884
  5. Step 5: Solve for x
    x = 3,906,226,884/65,735.32
  6. Step 6: Final answer
    x = 59,423.56

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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.