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Finding the Fourth Proportional to 189,662.96, 284,455.82 and 69,678.67

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Solution

The fourth proportional to 189,662.96, 284,455.82 and 69,678.67 is: 104,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,662.96 : 284,455.82 = 69,678.67 : x
  2. Step 2: Convert to fraction form
    189,662.96/284,455.82 = 69,678.67/x
  3. Step 3: Cross multiply
    189,662.96x = 284,455.82 × 69,678.67
  4. Step 4: Simplify right side
    189,662.96x = 19,820,503,211.36
  5. Step 5: Solve for x
    x = 19,820,503,211.36/189,662.96
  6. Step 6: Final answer
    x = 104,503.82

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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.