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Finding the Fourth Proportional to 201,722.79, 278,375.16 and 111,076.89

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Solution

The fourth proportional to 201,722.79, 278,375.16 and 111,076.89 is: 153,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,722.79 : 278,375.16 = 111,076.89 : x
  2. Step 2: Convert to fraction form
    201,722.79/278,375.16 = 111,076.89/x
  3. Step 3: Cross multiply
    201,722.79x = 278,375.16 × 111,076.89
  4. Step 4: Simplify right side
    201,722.79x = 30,921,047,026.05
  5. Step 5: Solve for x
    x = 30,921,047,026.05/201,722.79
  6. Step 6: Final answer
    x = 153,284.85

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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.