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Finding the Fourth Proportional to 189,381.86, 284,051.82 and 67,797.56

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Solution

The fourth proportional to 189,381.86, 284,051.82 and 67,797.56 is: 101,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,381.86 : 284,051.82 = 67,797.56 : x
  2. Step 2: Convert to fraction form
    189,381.86/284,051.82 = 67,797.56/x
  3. Step 3: Cross multiply
    189,381.86x = 284,051.82 × 67,797.56
  4. Step 4: Simplify right side
    189,381.86x = 19,258,020,309.56
  5. Step 5: Solve for x
    x = 19,258,020,309.56/189,381.86
  6. Step 6: Final answer
    x = 101,688.83

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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.