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Finding the Fourth Proportional to 201,718, 278,390.28 and 112,294

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Solution

The fourth proportional to 201,718, 278,390.28 and 112,294 is: 154,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,718 : 278,390.28 = 112,294 : x
  2. Step 2: Convert to fraction form
    201,718/278,390.28 = 112,294/x
  3. Step 3: Cross multiply
    201,718x = 278,390.28 × 112,294
  4. Step 4: Simplify right side
    201,718x = 31,261,558,102.32
  5. Step 5: Solve for x
    x = 31,261,558,102.32/201,718
  6. Step 6: Final answer
    x = 154,976.54

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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.