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Finding the Fourth Proportional to 165,473.78, 248,314.35 and 66,977.78

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Solution

The fourth proportional to 165,473.78, 248,314.35 and 66,977.78 is: 100,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,473.78 : 248,314.35 = 66,977.78 : x
  2. Step 2: Convert to fraction form
    165,473.78/248,314.35 = 66,977.78/x
  3. Step 3: Cross multiply
    165,473.78x = 248,314.35 × 66,977.78
  4. Step 4: Simplify right side
    165,473.78x = 16,631,543,905.14
  5. Step 5: Solve for x
    x = 16,631,543,905.14/165,473.78
  6. Step 6: Final answer
    x = 100,508.64

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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.