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Finding the Fourth Proportional to 119,021, 178,531.58 and 45,149

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Solution

The fourth proportional to 119,021, 178,531.58 and 45,149 is: 67,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,021 : 178,531.58 = 45,149 : x
  2. Step 2: Convert to fraction form
    119,021/178,531.58 = 45,149/x
  3. Step 3: Cross multiply
    119,021x = 178,531.58 × 45,149
  4. Step 4: Simplify right side
    119,021x = 8,060,522,305.42
  5. Step 5: Solve for x
    x = 8,060,522,305.42/119,021
  6. Step 6: Final answer
    x = 67,723.53

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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.