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Finding the Fourth Proportional to 90,427.02, 135,651.42 and 43,647

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Solution

The fourth proportional to 90,427.02, 135,651.42 and 43,647 is: 65,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,427.02 : 135,651.42 = 43,647 : x
  2. Step 2: Convert to fraction form
    90,427.02/135,651.42 = 43,647/x
  3. Step 3: Cross multiply
    90,427.02x = 135,651.42 × 43,647
  4. Step 4: Simplify right side
    90,427.02x = 5,920,777,528.74
  5. Step 5: Solve for x
    x = 5,920,777,528.74/90,427.02
  6. Step 6: Final answer
    x = 65,475.76

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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.