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Finding the Fourth Proportional to 202,081.68, 278,871.03 and 111,441.42

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Solution

The fourth proportional to 202,081.68, 278,871.03 and 111,441.42 is: 153,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,081.68 : 278,871.03 = 111,441.42 : x
  2. Step 2: Convert to fraction form
    202,081.68/278,871.03 = 111,441.42/x
  3. Step 3: Cross multiply
    202,081.68x = 278,871.03 × 111,441.42
  4. Step 4: Simplify right side
    202,081.68x = 31,077,783,580.06
  5. Step 5: Solve for x
    x = 31,077,783,580.06/202,081.68
  6. Step 6: Final answer
    x = 153,788.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.