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Finding the Fourth Proportional to 201,786.04, 278,466.62 and 111,142.34

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Solution

The fourth proportional to 201,786.04, 278,466.62 and 111,142.34 is: 153,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,786.04 : 278,466.62 = 111,142.34 : x
  2. Step 2: Convert to fraction form
    201,786.04/278,466.62 = 111,142.34/x
  3. Step 3: Cross multiply
    201,786.04x = 278,466.62 × 111,142.34
  4. Step 4: Simplify right side
    201,786.04x = 30,949,429,810.65
  5. Step 5: Solve for x
    x = 30,949,429,810.65/201,786.04
  6. Step 6: Final answer
    x = 153,377.46

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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.