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Finding the Fourth Proportional to 189,900.21, 284,850.32 and 49,657.62

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Solution

The fourth proportional to 189,900.21, 284,850.32 and 49,657.62 is: 74,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,900.21 : 284,850.32 = 49,657.62 : x
  2. Step 2: Convert to fraction form
    189,900.21/284,850.32 = 49,657.62/x
  3. Step 3: Cross multiply
    189,900.21x = 284,850.32 × 49,657.62
  4. Step 4: Simplify right side
    189,900.21x = 14,144,988,699.15
  5. Step 5: Solve for x
    x = 14,144,988,699.15/189,900.21
  6. Step 6: Final answer
    x = 74,486.43

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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.