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Finding the Fourth Proportional to 213,636.42, 294,729.21 and 122,970.69

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Solution

The fourth proportional to 213,636.42, 294,729.21 and 122,970.69 is: 169,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,636.42 : 294,729.21 = 122,970.69 : x
  2. Step 2: Convert to fraction form
    213,636.42/294,729.21 = 122,970.69/x
  3. Step 3: Cross multiply
    213,636.42x = 294,729.21 × 122,970.69
  4. Step 4: Simplify right side
    213,636.42x = 36,243,054,316.85
  5. Step 5: Solve for x
    x = 36,243,054,316.85/213,636.42
  6. Step 6: Final answer
    x = 169,648.29

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1.5x scale

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.