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Finding the Fourth Proportional to 189,449.84, 284,221.85 and 56,329.90

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Solution

The fourth proportional to 189,449.84, 284,221.85 and 56,329.90 is: 84,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,449.84 : 284,221.85 = 56,329.90 : x
  2. Step 2: Convert to fraction form
    189,449.84/284,221.85 = 56,329.90/x
  3. Step 3: Cross multiply
    189,449.84x = 284,221.85 × 56,329.90
  4. Step 4: Simplify right side
    189,449.84x = 16,010,187,396.11
  5. Step 5: Solve for x
    x = 16,010,187,396.11/189,449.84
  6. Step 6: Final answer
    x = 84,508.85

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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.