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Finding the Fourth Proportional to 142,491, 196,716.06 and 106,668.12

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Solution

The fourth proportional to 142,491, 196,716.06 and 106,668.12 is: 147,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,491 : 196,716.06 = 106,668.12 : x
  2. Step 2: Convert to fraction form
    142,491/196,716.06 = 106,668.12/x
  3. Step 3: Cross multiply
    142,491x = 196,716.06 × 106,668.12
  4. Step 4: Simplify right side
    142,491x = 20,983,332,294.01
  5. Step 5: Solve for x
    x = 20,983,332,294.01/142,491
  6. Step 6: Final answer
    x = 147,260.76

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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.