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Finding the Fourth Proportional to 202,172.84, 278,821.27 and 161,871.91

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Solution

The fourth proportional to 202,172.84, 278,821.27 and 161,871.91 is: 223,241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,172.84 : 278,821.27 = 161,871.91 : x
  2. Step 2: Convert to fraction form
    202,172.84/278,821.27 = 161,871.91/x
  3. Step 3: Cross multiply
    202,172.84x = 278,821.27 × 161,871.91
  4. Step 4: Simplify right side
    202,172.84x = 45,133,331,523.53
  5. Step 5: Solve for x
    x = 45,133,331,523.53/202,172.84
  6. Step 6: Final answer
    x = 223,241.32

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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.