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Finding the Fourth Proportional to 189,923, 284,779.34 and 77,682.04

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Solution

The fourth proportional to 189,923, 284,779.34 and 77,682.04 is: 116,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,923 : 284,779.34 = 77,682.04 : x
  2. Step 2: Convert to fraction form
    189,923/284,779.34 = 77,682.04/x
  3. Step 3: Cross multiply
    189,923x = 284,779.34 × 77,682.04
  4. Step 4: Simplify right side
    189,923x = 22,122,240,081.05
  5. Step 5: Solve for x
    x = 22,122,240,081.05/189,923
  6. Step 6: Final answer
    x = 116,480.05

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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.