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Finding the Fourth Proportional to 221,486.40, 305,544.96 and 144,971.82

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Solution

The fourth proportional to 221,486.40, 305,544.96 and 144,971.82 is: 199,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,486.40 : 305,544.96 = 144,971.82 : x
  2. Step 2: Convert to fraction form
    221,486.40/305,544.96 = 144,971.82/x
  3. Step 3: Cross multiply
    221,486.40x = 305,544.96 × 144,971.82
  4. Step 4: Simplify right side
    221,486.40x = 44,295,408,943.03
  5. Step 5: Solve for x
    x = 44,295,408,943.03/221,486.40
  6. Step 6: Final answer
    x = 199,991.55

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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.