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Finding the Fourth Proportional to 197,626.38, 272,722.79 and 106,980.50

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Solution

The fourth proportional to 197,626.38, 272,722.79 and 106,980.50 is: 147,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,626.38 : 272,722.79 = 106,980.50 : x
  2. Step 2: Convert to fraction form
    197,626.38/272,722.79 = 106,980.50/x
  3. Step 3: Cross multiply
    197,626.38x = 272,722.79 × 106,980.50
  4. Step 4: Simplify right side
    197,626.38x = 29,176,018,537.08
  5. Step 5: Solve for x
    x = 29,176,018,537.08/197,626.38
  6. Step 6: Final answer
    x = 147,632.21

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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.