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Finding the Fourth Proportional to 213,229, 294,281.94 and 123,805

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Solution

The fourth proportional to 213,229, 294,281.94 and 123,805 is: 170,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,229 : 294,281.94 = 123,805 : x
  2. Step 2: Convert to fraction form
    213,229/294,281.94 = 123,805/x
  3. Step 3: Cross multiply
    213,229x = 294,281.94 × 123,805
  4. Step 4: Simplify right side
    213,229x = 36,433,575,581.70
  5. Step 5: Solve for x
    x = 36,433,575,581.70/213,229
  6. Step 6: Final answer
    x = 170,865.95

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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.