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Finding the Fourth Proportional to 217,535.80, 300,202.32 and 122,036.80

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Solution

The fourth proportional to 217,535.80, 300,202.32 and 122,036.80 is: 168,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,535.80 : 300,202.32 = 122,036.80 : x
  2. Step 2: Convert to fraction form
    217,535.80/300,202.32 = 122,036.80/x
  3. Step 3: Cross multiply
    217,535.80x = 300,202.32 × 122,036.80
  4. Step 4: Simplify right side
    217,535.80x = 36,635,730,485.38
  5. Step 5: Solve for x
    x = 36,635,730,485.38/217,535.80
  6. Step 6: Final answer
    x = 168,412.42

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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.