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Finding the Fourth Proportional to 213,210.88, 294,230.92 and 122,584.56

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Solution

The fourth proportional to 213,210.88, 294,230.92 and 122,584.56 is: 169,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,210.88 : 294,230.92 = 122,584.56 : x
  2. Step 2: Convert to fraction form
    213,210.88/294,230.92 = 122,584.56/x
  3. Step 3: Cross multiply
    213,210.88x = 294,230.92 × 122,584.56
  4. Step 4: Simplify right side
    213,210.88x = 36,068,167,866.60
  5. Step 5: Solve for x
    x = 36,068,167,866.60/213,210.88
  6. Step 6: Final answer
    x = 169,166.64

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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.