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Finding the Fourth Proportional to 220,174.80, 303,967.26 and 144,942

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Solution

The fourth proportional to 220,174.80, 303,967.26 and 144,942 is: 200,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,174.80 : 303,967.26 = 144,942 : x
  2. Step 2: Convert to fraction form
    220,174.80/303,967.26 = 144,942/x
  3. Step 3: Cross multiply
    220,174.80x = 303,967.26 × 144,942
  4. Step 4: Simplify right side
    220,174.80x = 44,057,622,598.92
  5. Step 5: Solve for x
    x = 44,057,622,598.92/220,174.80
  6. Step 6: Final answer
    x = 200,102.93

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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.