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Finding the Fourth Proportional to 221,261.40, 305,262 and 130,571.99

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Solution

The fourth proportional to 221,261.40, 305,262 and 130,571.99 is: 180,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,261.40 : 305,262 = 130,571.99 : x
  2. Step 2: Convert to fraction form
    221,261.40/305,262 = 130,571.99/x
  3. Step 3: Cross multiply
    221,261.40x = 305,262 × 130,571.99
  4. Step 4: Simplify right side
    221,261.40x = 39,858,665,285.07
  5. Step 5: Solve for x
    x = 39,858,665,285.07/221,261.40
  6. Step 6: Final answer
    x = 180,142.88

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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.