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Finding the Fourth Proportional to 221,003.54, 305,021.46 and 130,381.68

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Solution

The fourth proportional to 221,003.54, 305,021.46 and 130,381.68 is: 179,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,003.54 : 305,021.46 = 130,381.68 : x
  2. Step 2: Convert to fraction form
    221,003.54/305,021.46 = 130,381.68/x
  3. Step 3: Cross multiply
    221,003.54x = 305,021.46 × 130,381.68
  4. Step 4: Simplify right side
    221,003.54x = 39,769,212,023.61
  5. Step 5: Solve for x
    x = 39,769,212,023.61/221,003.54
  6. Step 6: Final answer
    x = 179,948.30

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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.