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Finding the Fourth Proportional to 281,820.16, 388,903.78 and 160,958.95

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Solution

The fourth proportional to 281,820.16, 388,903.78 and 160,958.95 is: 222,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,820.16 : 388,903.78 = 160,958.95 : x
  2. Step 2: Convert to fraction form
    281,820.16/388,903.78 = 160,958.95/x
  3. Step 3: Cross multiply
    281,820.16x = 388,903.78 × 160,958.95
  4. Step 4: Simplify right side
    281,820.16x = 62,597,544,079.83
  5. Step 5: Solve for x
    x = 62,597,544,079.83/281,820.16
  6. Step 6: Final answer
    x = 222,118.76

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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.