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Finding the Fourth Proportional to 189,661.96, 284,454.32 and 69,677.67

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Solution

The fourth proportional to 189,661.96, 284,454.32 and 69,677.67 is: 104,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,661.96 : 284,454.32 = 69,677.67 : x
  2. Step 2: Convert to fraction form
    189,661.96/284,454.32 = 69,677.67/x
  3. Step 3: Cross multiply
    189,661.96x = 284,454.32 × 69,677.67
  4. Step 4: Simplify right side
    189,661.96x = 19,820,114,239.03
  5. Step 5: Solve for x
    x = 19,820,114,239.03/189,661.96
  6. Step 6: Final answer
    x = 104,502.32

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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.