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Finding the Fourth Proportional to 213,212, 294,258.48 and 123,788

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Solution

The fourth proportional to 213,212, 294,258.48 and 123,788 is: 170,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,212 : 294,258.48 = 123,788 : x
  2. Step 2: Convert to fraction form
    213,212/294,258.48 = 123,788/x
  3. Step 3: Cross multiply
    213,212x = 294,258.48 × 123,788
  4. Step 4: Simplify right side
    213,212x = 36,425,668,722.24
  5. Step 5: Solve for x
    x = 36,425,668,722.24/213,212
  6. Step 6: Final answer
    x = 170,842.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.