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Finding the Fourth Proportional to 201,838, 278,536.44 and 112,414

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Solution

The fourth proportional to 201,838, 278,536.44 and 112,414 is: 155,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,838 : 278,536.44 = 112,414 : x
  2. Step 2: Convert to fraction form
    201,838/278,536.44 = 112,414/x
  3. Step 3: Cross multiply
    201,838x = 278,536.44 × 112,414
  4. Step 4: Simplify right side
    201,838x = 31,311,395,366.16
  5. Step 5: Solve for x
    x = 31,311,395,366.16/201,838
  6. Step 6: Final answer
    x = 155,131.32

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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.