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Finding the Fourth Proportional to 196,413, 271,049.94 and 106,989

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Solution

The fourth proportional to 196,413, 271,049.94 and 106,989 is: 147,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,413 : 271,049.94 = 106,989 : x
  2. Step 2: Convert to fraction form
    196,413/271,049.94 = 106,989/x
  3. Step 3: Cross multiply
    196,413x = 271,049.94 × 106,989
  4. Step 4: Simplify right side
    196,413x = 28,999,362,030.66
  5. Step 5: Solve for x
    x = 28,999,362,030.66/196,413
  6. Step 6: Final answer
    x = 147,644.82

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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.