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Finding the Fourth Proportional to 221,710.24, 305,948.64 and 126,216.64

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Solution

The fourth proportional to 221,710.24, 305,948.64 and 126,216.64 is: 174,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,710.24 : 305,948.64 = 126,216.64 : x
  2. Step 2: Convert to fraction form
    221,710.24/305,948.64 = 126,216.64/x
  3. Step 3: Cross multiply
    221,710.24x = 305,948.64 × 126,216.64
  4. Step 4: Simplify right side
    221,710.24x = 38,615,809,353.37
  5. Step 5: Solve for x
    x = 38,615,809,353.37/221,710.24
  6. Step 6: Final answer
    x = 174,172.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.