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Finding the Fourth Proportional to 146,234, 201,803.19 and 79,166

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Solution

The fourth proportional to 146,234, 201,803.19 and 79,166 is: 109,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,234 : 201,803.19 = 79,166 : x
  2. Step 2: Convert to fraction form
    146,234/201,803.19 = 79,166/x
  3. Step 3: Cross multiply
    146,234x = 201,803.19 × 79,166
  4. Step 4: Simplify right side
    146,234x = 15,975,951,339.54
  5. Step 5: Solve for x
    x = 15,975,951,339.54/146,234
  6. Step 6: Final answer
    x = 109,249.23

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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.