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Finding the Fourth Proportional to 178,019.86, 266,845.26 and 111,306.79

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Solution

The fourth proportional to 178,019.86, 266,845.26 and 111,306.79 is: 166,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,019.86 : 266,845.26 = 111,306.79 : x
  2. Step 2: Convert to fraction form
    178,019.86/266,845.26 = 111,306.79/x
  3. Step 3: Cross multiply
    178,019.86x = 266,845.26 × 111,306.79
  4. Step 4: Simplify right side
    178,019.86x = 29,701,689,984.43
  5. Step 5: Solve for x
    x = 29,701,689,984.43/178,019.86
  6. Step 6: Final answer
    x = 166,844.81

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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.