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Finding the Fourth Proportional to 119,409.80, 178,874.26 and 55,277.58

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Solution

The fourth proportional to 119,409.80, 178,874.26 and 55,277.58 is: 82,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,409.80 : 178,874.26 = 55,277.58 : x
  2. Step 2: Convert to fraction form
    119,409.80/178,874.26 = 55,277.58/x
  3. Step 3: Cross multiply
    119,409.80x = 178,874.26 × 55,277.58
  4. Step 4: Simplify right side
    119,409.80x = 9,887,736,217.09
  5. Step 5: Solve for x
    x = 9,887,736,217.09/119,409.80
  6. Step 6: Final answer
    x = 82,805.06

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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.