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Finding the Fourth Proportional to 201,380, 277,904.40 and 111,973.28

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Solution

The fourth proportional to 201,380, 277,904.40 and 111,973.28 is: 154,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,380 : 277,904.40 = 111,973.28 : x
  2. Step 2: Convert to fraction form
    201,380/277,904.40 = 111,973.28/x
  3. Step 3: Cross multiply
    201,380x = 277,904.40 × 111,973.28
  4. Step 4: Simplify right side
    201,380x = 31,117,867,194.43
  5. Step 5: Solve for x
    x = 31,117,867,194.43/201,380
  6. Step 6: Final answer
    x = 154,523.13

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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.