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Finding the Fourth Proportional to 117,872.64, 176,668.44 and 82,140.48

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Solution

The fourth proportional to 117,872.64, 176,668.44 and 82,140.48 is: 123,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,872.64 : 176,668.44 = 82,140.48 : x
  2. Step 2: Convert to fraction form
    117,872.64/176,668.44 = 82,140.48/x
  3. Step 3: Cross multiply
    117,872.64x = 176,668.44 × 82,140.48
  4. Step 4: Simplify right side
    117,872.64x = 14,511,630,462.45
  5. Step 5: Solve for x
    x = 14,511,630,462.45/117,872.64
  6. Step 6: Final answer
    x = 123,112.80

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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.