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Finding the Fourth Proportional to 197,291.28, 272,262 and 106,647

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Solution

The fourth proportional to 197,291.28, 272,262 and 106,647 is: 147,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,291.28 : 272,262 = 106,647 : x
  2. Step 2: Convert to fraction form
    197,291.28/272,262 = 106,647/x
  3. Step 3: Cross multiply
    197,291.28x = 272,262 × 106,647
  4. Step 4: Simplify right side
    197,291.28x = 29,035,925,514
  5. Step 5: Solve for x
    x = 29,035,925,514/197,291.28
  6. Step 6: Final answer
    x = 147,172.88

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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.