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Finding the Fourth Proportional to 221,525.82, 305,707.59 and 120,927.42

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Solution

The fourth proportional to 221,525.82, 305,707.59 and 120,927.42 is: 166,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,525.82 : 305,707.59 = 120,927.42 : x
  2. Step 2: Convert to fraction form
    221,525.82/305,707.59 = 120,927.42/x
  3. Step 3: Cross multiply
    221,525.82x = 305,707.59 × 120,927.42
  4. Step 4: Simplify right side
    221,525.82x = 36,968,430,133.12
  5. Step 5: Solve for x
    x = 36,968,430,133.12/221,525.82
  6. Step 6: Final answer
    x = 166,880.91

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1.5x scale

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.