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Finding the Fourth Proportional to 201,451.78, 278,004.05 and 110,817.03

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Solution

The fourth proportional to 201,451.78, 278,004.05 and 110,817.03 is: 152,927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,451.78 : 278,004.05 = 110,817.03 : x
  2. Step 2: Convert to fraction form
    201,451.78/278,004.05 = 110,817.03/x
  3. Step 3: Cross multiply
    201,451.78x = 278,004.05 × 110,817.03
  4. Step 4: Simplify right side
    201,451.78x = 30,807,583,148.97
  5. Step 5: Solve for x
    x = 30,807,583,148.97/201,451.78
  6. Step 6: Final answer
    x = 152,927.83

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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.