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Finding the Fourth Proportional to 221,735, 305,994.48 and 121,133

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Solution

The fourth proportional to 221,735, 305,994.48 and 121,133 is: 167,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,735 : 305,994.48 = 121,133 : x
  2. Step 2: Convert to fraction form
    221,735/305,994.48 = 121,133/x
  3. Step 3: Cross multiply
    221,735x = 305,994.48 × 121,133
  4. Step 4: Simplify right side
    221,735x = 37,066,029,345.84
  5. Step 5: Solve for x
    x = 37,066,029,345.84/221,735
  6. Step 6: Final answer
    x = 167,163.64

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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.