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Finding the Fourth Proportional to 213,866.80, 295,231.44 and 127,855.60

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Solution

The fourth proportional to 213,866.80, 295,231.44 and 127,855.60 is: 176,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,866.80 : 295,231.44 = 127,855.60 : x
  2. Step 2: Convert to fraction form
    213,866.80/295,231.44 = 127,855.60/x
  3. Step 3: Cross multiply
    213,866.80x = 295,231.44 × 127,855.60
  4. Step 4: Simplify right side
    213,866.80x = 37,746,992,900.06
  5. Step 5: Solve for x
    x = 37,746,992,900.06/213,866.80
  6. Step 6: Final answer
    x = 176,497.67

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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.