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Finding the Fourth Proportional to 201,319, 277,837.50 and 111,912.28

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Solution

The fourth proportional to 201,319, 277,837.50 and 111,912.28 is: 154,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,319 : 277,837.50 = 111,912.28 : x
  2. Step 2: Convert to fraction form
    201,319/277,837.50 = 111,912.28/x
  3. Step 3: Cross multiply
    201,319x = 277,837.50 × 111,912.28
  4. Step 4: Simplify right side
    201,319x = 31,093,428,094.50
  5. Step 5: Solve for x
    x = 31,093,428,094.50/201,319
  6. Step 6: Final answer
    x = 154,448.55

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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.