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Finding the Fourth Proportional to 221,069.40, 305,075.76 and 120,467.40

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Solution

The fourth proportional to 221,069.40, 305,075.76 and 120,467.40 is: 166,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,069.40 : 305,075.76 = 120,467.40 : x
  2. Step 2: Convert to fraction form
    221,069.40/305,075.76 = 120,467.40/x
  3. Step 3: Cross multiply
    221,069.40x = 305,075.76 × 120,467.40
  4. Step 4: Simplify right side
    221,069.40x = 36,751,683,610.22
  5. Step 5: Solve for x
    x = 36,751,683,610.22/221,069.40
  6. Step 6: Final answer
    x = 166,245.01

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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.