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Finding the Fourth Proportional to 119,408.80, 178,872.76 and 55,276.58

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Solution

The fourth proportional to 119,408.80, 178,872.76 and 55,276.58 is: 82,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,408.80 : 178,872.76 = 55,276.58 : x
  2. Step 2: Convert to fraction form
    119,408.80/178,872.76 = 55,276.58/x
  3. Step 3: Cross multiply
    119,408.80x = 178,872.76 × 55,276.58
  4. Step 4: Simplify right side
    119,408.80x = 9,887,474,427.96
  5. Step 5: Solve for x
    x = 9,887,474,427.96/119,408.80
  6. Step 6: Final answer
    x = 82,803.57

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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.