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Finding the Fourth Proportional to 201,667.76, 278,289.24 and 111,006.08

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Solution

The fourth proportional to 201,667.76, 278,289.24 and 111,006.08 is: 153,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,667.76 : 278,289.24 = 111,006.08 : x
  2. Step 2: Convert to fraction form
    201,667.76/278,289.24 = 111,006.08/x
  3. Step 3: Cross multiply
    201,667.76x = 278,289.24 × 111,006.08
  4. Step 4: Simplify right side
    201,667.76x = 30,891,797,638.58
  5. Step 5: Solve for x
    x = 30,891,797,638.58/201,667.76
  6. Step 6: Final answer
    x = 153,181.64

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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.