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Finding the Fourth Proportional to 189,415.86, 284,040.09 and 71,004.14

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Solution

The fourth proportional to 189,415.86, 284,040.09 and 71,004.14 is: 106,474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,415.86 : 284,040.09 = 71,004.14 : x
  2. Step 2: Convert to fraction form
    189,415.86/284,040.09 = 71,004.14/x
  3. Step 3: Cross multiply
    189,415.86x = 284,040.09 × 71,004.14
  4. Step 4: Simplify right side
    189,415.86x = 20,168,020,895.77
  5. Step 5: Solve for x
    x = 20,168,020,895.77/189,415.86
  6. Step 6: Final answer
    x = 106,474.83

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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.