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Finding the Fourth Proportional to 189,942.12, 284,978.21 and 71,647.29

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Solution

The fourth proportional to 189,942.12, 284,978.21 and 71,647.29 is: 107,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,942.12 : 284,978.21 = 71,647.29 : x
  2. Step 2: Convert to fraction form
    189,942.12/284,978.21 = 71,647.29/x
  3. Step 3: Cross multiply
    189,942.12x = 284,978.21 × 71,647.29
  4. Step 4: Simplify right side
    189,942.12x = 20,417,916,097.31
  5. Step 5: Solve for x
    x = 20,417,916,097.31/189,942.12
  6. Step 6: Final answer
    x = 107,495.46

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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.