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Finding the Fourth Proportional to 212,654.46, 318,971.09 and 79,524.93

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Solution

The fourth proportional to 212,654.46, 318,971.09 and 79,524.93 is: 119,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,654.46 : 318,971.09 = 79,524.93 : x
  2. Step 2: Convert to fraction form
    212,654.46/318,971.09 = 79,524.93/x
  3. Step 3: Cross multiply
    212,654.46x = 318,971.09 × 79,524.93
  4. Step 4: Simplify right side
    212,654.46x = 25,366,153,604.27
  5. Step 5: Solve for x
    x = 25,366,153,604.27/212,654.46
  6. Step 6: Final answer
    x = 119,283.43

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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.