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Finding the Fourth Proportional to 221,200.40, 305,243.40 and 125,693.84

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Solution

The fourth proportional to 221,200.40, 305,243.40 and 125,693.84 is: 173,450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,200.40 : 305,243.40 = 125,693.84 : x
  2. Step 2: Convert to fraction form
    221,200.40/305,243.40 = 125,693.84/x
  3. Step 3: Cross multiply
    221,200.40x = 305,243.40 × 125,693.84
  4. Step 4: Simplify right side
    221,200.40x = 38,367,215,080.66
  5. Step 5: Solve for x
    x = 38,367,215,080.66/221,200.40
  6. Step 6: Final answer
    x = 173,450.03

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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.