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Finding the Fourth Proportional to 131,653.83, 181,704 and 80,694.90

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Solution

The fourth proportional to 131,653.83, 181,704 and 80,694.90 is: 111,372.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,653.83 : 181,704 = 80,694.90 : x
  2. Step 2: Convert to fraction form
    131,653.83/181,704 = 80,694.90/x
  3. Step 3: Cross multiply
    131,653.83x = 181,704 × 80,694.90
  4. Step 4: Simplify right side
    131,653.83x = 14,662,586,109.60
  5. Step 5: Solve for x
    x = 14,662,586,109.60/131,653.83
  6. Step 6: Final answer
    x = 111,372.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.