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Finding the Fourth Proportional to 65,455, 90,327.90 and 35,647

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Solution

The fourth proportional to 65,455, 90,327.90 and 35,647 is: 49,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,455 : 90,327.90 = 35,647 : x
  2. Step 2: Convert to fraction form
    65,455/90,327.90 = 35,647/x
  3. Step 3: Cross multiply
    65,455x = 90,327.90 × 35,647
  4. Step 4: Simplify right side
    65,455x = 3,219,918,651.30
  5. Step 5: Solve for x
    x = 3,219,918,651.30/65,455
  6. Step 6: Final answer
    x = 49,192.86

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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.