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Finding the Fourth Proportional to 221,482.35, 305,680.64 and 140,825.79

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Solution

The fourth proportional to 221,482.35, 305,680.64 and 140,825.79 is: 194,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,482.35 : 305,680.64 = 140,825.79 : x
  2. Step 2: Convert to fraction form
    221,482.35/305,680.64 = 140,825.79/x
  3. Step 3: Cross multiply
    221,482.35x = 305,680.64 × 140,825.79
  4. Step 4: Simplify right side
    221,482.35x = 43,047,716,911.58
  5. Step 5: Solve for x
    x = 43,047,716,911.58/221,482.35
  6. Step 6: Final answer
    x = 194,361.84

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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.