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Finding the Fourth Proportional to 201,911.28, 278,639.40 and 111,270.50

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Solution

The fourth proportional to 201,911.28, 278,639.40 and 111,270.50 is: 153,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,911.28 : 278,639.40 = 111,270.50 : x
  2. Step 2: Convert to fraction form
    201,911.28/278,639.40 = 111,270.50/x
  3. Step 3: Cross multiply
    201,911.28x = 278,639.40 × 111,270.50
  4. Step 4: Simplify right side
    201,911.28x = 31,004,343,964.50
  5. Step 5: Solve for x
    x = 31,004,343,964.50/201,911.28
  6. Step 6: Final answer
    x = 153,554.29

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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.