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Finding the Fourth Proportional to 172,963.69, 238,599.06 and 140,734.33

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Solution

The fourth proportional to 172,963.69, 238,599.06 and 140,734.33 is: 194,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,963.69 : 238,599.06 = 140,734.33 : x
  2. Step 2: Convert to fraction form
    172,963.69/238,599.06 = 140,734.33/x
  3. Step 3: Cross multiply
    172,963.69x = 238,599.06 × 140,734.33
  4. Step 4: Simplify right side
    172,963.69x = 33,579,078,847.73
  5. Step 5: Solve for x
    x = 33,579,078,847.73/172,963.69
  6. Step 6: Final answer
    x = 194,139.47

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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.