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Finding the Fourth Proportional to 165,473.28, 248,313.60 and 66,977.28

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Solution

The fourth proportional to 165,473.28, 248,313.60 and 66,977.28 is: 100,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,473.28 : 248,313.60 = 66,977.28 : x
  2. Step 2: Convert to fraction form
    165,473.28/248,313.60 = 66,977.28/x
  3. Step 3: Cross multiply
    165,473.28x = 248,313.60 × 66,977.28
  4. Step 4: Simplify right side
    165,473.28x = 16,631,369,515.01
  5. Step 5: Solve for x
    x = 16,631,369,515.01/165,473.28
  6. Step 6: Final answer
    x = 100,507.89

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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.