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Finding the Fourth Proportional to 189,373.84, 283,773.38 and 139,215

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Solution

The fourth proportional to 189,373.84, 283,773.38 and 139,215 is: 208,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,373.84 : 283,773.38 = 139,215 : x
  2. Step 2: Convert to fraction form
    189,373.84/283,773.38 = 139,215/x
  3. Step 3: Cross multiply
    189,373.84x = 283,773.38 × 139,215
  4. Step 4: Simplify right side
    189,373.84x = 39,505,511,096.70
  5. Step 5: Solve for x
    x = 39,505,511,096.70/189,373.84
  6. Step 6: Final answer
    x = 208,611.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.