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Finding the Fourth Proportional to 238,668, 329,371.36 and 143,139.84

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Solution

The fourth proportional to 238,668, 329,371.36 and 143,139.84 is: 197,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,668 : 329,371.36 = 143,139.84 : x
  2. Step 2: Convert to fraction form
    238,668/329,371.36 = 143,139.84/x
  3. Step 3: Cross multiply
    238,668x = 329,371.36 × 143,139.84
  4. Step 4: Simplify right side
    238,668x = 47,146,163,770.98
  5. Step 5: Solve for x
    x = 47,146,163,770.98/238,668
  6. Step 6: Final answer
    x = 197,538.69

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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.