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Finding the Fourth Proportional to 202,169.22, 278,816.27 and 161,868.28

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Solution

The fourth proportional to 202,169.22, 278,816.27 and 161,868.28 is: 223,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,169.22 : 278,816.27 = 161,868.28 : x
  2. Step 2: Convert to fraction form
    202,169.22/278,816.27 = 161,868.28/x
  3. Step 3: Cross multiply
    202,169.22x = 278,816.27 × 161,868.28
  4. Step 4: Simplify right side
    202,169.22x = 45,131,508,666.83
  5. Step 5: Solve for x
    x = 45,131,508,666.83/202,169.22
  6. Step 6: Final answer
    x = 223,236.31

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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.