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Finding the Fourth Proportional to 221,394.33, 305,522.62 and 125,901

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Solution

The fourth proportional to 221,394.33, 305,522.62 and 125,901 is: 173,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,394.33 : 305,522.62 = 125,901 : x
  2. Step 2: Convert to fraction form
    221,394.33/305,522.62 = 125,901/x
  3. Step 3: Cross multiply
    221,394.33x = 305,522.62 × 125,901
  4. Step 4: Simplify right side
    221,394.33x = 38,465,603,065.87
  5. Step 5: Solve for x
    x = 38,465,603,065.87/221,394.33
  6. Step 6: Final answer
    x = 173,742.49

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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.