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Finding the Fourth Proportional to 202,065.28, 278,844.60 and 111,419.80

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Solution

The fourth proportional to 202,065.28, 278,844.60 and 111,419.80 is: 153,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,065.28 : 278,844.60 = 111,419.80 : x
  2. Step 2: Convert to fraction form
    202,065.28/278,844.60 = 111,419.80/x
  3. Step 3: Cross multiply
    202,065.28x = 278,844.60 × 111,419.80
  4. Step 4: Simplify right side
    202,065.28x = 31,068,809,563.08
  5. Step 5: Solve for x
    x = 31,068,809,563.08/202,065.28
  6. Step 6: Final answer
    x = 153,756.30

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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.