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Finding the Fourth Proportional to 202,170.22, 278,817.65 and 161,869.28

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Solution

The fourth proportional to 202,170.22, 278,817.65 and 161,869.28 is: 223,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,170.22 : 278,817.65 = 161,869.28 : x
  2. Step 2: Convert to fraction form
    202,170.22/278,817.65 = 161,869.28/x
  3. Step 3: Cross multiply
    202,170.22x = 278,817.65 × 161,869.28
  4. Step 4: Simplify right side
    202,170.22x = 45,132,012,256.79
  5. Step 5: Solve for x
    x = 45,132,012,256.79/202,170.22
  6. Step 6: Final answer
    x = 223,237.69

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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.