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Finding the Fourth Proportional to 202,022.76, 278,775.80 and 111,378.44

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Solution

The fourth proportional to 202,022.76, 278,775.80 and 111,378.44 is: 153,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,022.76 : 278,775.80 = 111,378.44 : x
  2. Step 2: Convert to fraction form
    202,022.76/278,775.80 = 111,378.44/x
  3. Step 3: Cross multiply
    202,022.76x = 278,775.80 × 111,378.44
  4. Step 4: Simplify right side
    202,022.76x = 31,049,613,713.75
  5. Step 5: Solve for x
    x = 31,049,613,713.75/202,022.76
  6. Step 6: Final answer
    x = 153,693.64

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1.5x scale

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.