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Finding the Fourth Proportional to 221,993.12, 306,257.64 and 145,530.56

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Solution

The fourth proportional to 221,993.12, 306,257.64 and 145,530.56 is: 200,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,993.12 : 306,257.64 = 145,530.56 : x
  2. Step 2: Convert to fraction form
    221,993.12/306,257.64 = 145,530.56/x
  3. Step 3: Cross multiply
    221,993.12x = 306,257.64 × 145,530.56
  4. Step 4: Simplify right side
    221,993.12x = 44,569,845,853.48
  5. Step 5: Solve for x
    x = 44,569,845,853.48/221,993.12
  6. Step 6: Final answer
    x = 200,771.29

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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.