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Finding the Fourth Proportional to 221,953.22, 306,296.73 and 121,351.22

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Solution

The fourth proportional to 221,953.22, 306,296.73 and 121,351.22 is: 167,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,953.22 : 306,296.73 = 121,351.22 : x
  2. Step 2: Convert to fraction form
    221,953.22/306,296.73 = 121,351.22/x
  3. Step 3: Cross multiply
    221,953.22x = 306,296.73 × 121,351.22
  4. Step 4: Simplify right side
    221,953.22x = 37,169,481,867.51
  5. Step 5: Solve for x
    x = 37,169,481,867.51/221,953.22
  6. Step 6: Final answer
    x = 167,465.39

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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.