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Finding the Fourth Proportional to 194,960.89, 292,381.80 and 82,639

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Solution

The fourth proportional to 194,960.89, 292,381.80 and 82,639 is: 123,933.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,960.89 : 292,381.80 = 82,639 : x
  2. Step 2: Convert to fraction form
    194,960.89/292,381.80 = 82,639/x
  3. Step 3: Cross multiply
    194,960.89x = 292,381.80 × 82,639
  4. Step 4: Simplify right side
    194,960.89x = 24,162,139,570.20
  5. Step 5: Solve for x
    x = 24,162,139,570.20/194,960.89
  6. Step 6: Final answer
    x = 123,933.26

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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.