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Finding the Fourth Proportional to 213,214, 294,244.80 and 122,599.36

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Solution

The fourth proportional to 213,214, 294,244.80 and 122,599.36 is: 169,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,214 : 294,244.80 = 122,599.36 : x
  2. Step 2: Convert to fraction form
    213,214/294,244.80 = 122,599.36/x
  3. Step 3: Cross multiply
    213,214x = 294,244.80 × 122,599.36
  4. Step 4: Simplify right side
    213,214x = 36,074,224,163.33
  5. Step 5: Solve for x
    x = 36,074,224,163.33/213,214
  6. Step 6: Final answer
    x = 169,192.57

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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.