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Finding the Fourth Proportional to 210,793, 290,989.20 and 134,414.48

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Solution

The fourth proportional to 210,793, 290,989.20 and 134,414.48 is: 185,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,793 : 290,989.20 = 134,414.48 : x
  2. Step 2: Convert to fraction form
    210,793/290,989.20 = 134,414.48/x
  3. Step 3: Cross multiply
    210,793x = 290,989.20 × 134,414.48
  4. Step 4: Simplify right side
    210,793x = 39,113,162,003.62
  5. Step 5: Solve for x
    x = 39,113,162,003.62/210,793
  6. Step 6: Final answer
    x = 185,552.47

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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.