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Finding the Fourth Proportional to 202,035.69, 278,821.78 and 111,391.49

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Solution

The fourth proportional to 202,035.69, 278,821.78 and 111,391.49 is: 153,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,035.69 : 278,821.78 = 111,391.49 : x
  2. Step 2: Convert to fraction form
    202,035.69/278,821.78 = 111,391.49/x
  3. Step 3: Cross multiply
    202,035.69x = 278,821.78 × 111,391.49
  4. Step 4: Simplify right side
    202,035.69x = 31,058,373,937.23
  5. Step 5: Solve for x
    x = 31,058,373,937.23/202,035.69
  6. Step 6: Final answer
    x = 153,727.17

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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.