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Finding the Fourth Proportional to 213,738.40, 294,906 and 138,196

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Solution

The fourth proportional to 213,738.40, 294,906 and 138,196 is: 190,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,738.40 : 294,906 = 138,196 : x
  2. Step 2: Convert to fraction form
    213,738.40/294,906 = 138,196/x
  3. Step 3: Cross multiply
    213,738.40x = 294,906 × 138,196
  4. Step 4: Simplify right side
    213,738.40x = 40,754,829,576
  5. Step 5: Solve for x
    x = 40,754,829,576/213,738.40
  6. Step 6: Final answer
    x = 190,676.22

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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.