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Finding the Fourth Proportional to 146,677, 202,414.80 and 79,609

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Solution

The fourth proportional to 146,677, 202,414.80 and 79,609 is: 109,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,677 : 202,414.80 = 79,609 : x
  2. Step 2: Convert to fraction form
    146,677/202,414.80 = 79,609/x
  3. Step 3: Cross multiply
    146,677x = 202,414.80 × 79,609
  4. Step 4: Simplify right side
    146,677x = 16,114,039,813.20
  5. Step 5: Solve for x
    x = 16,114,039,813.20/146,677
  6. Step 6: Final answer
    x = 109,860.71

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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.