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Finding the Fourth Proportional to 149,477.98, 206,279.67 and 82,409.98

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Solution

The fourth proportional to 149,477.98, 206,279.67 and 82,409.98 is: 113,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,477.98 : 206,279.67 = 82,409.98 : x
  2. Step 2: Convert to fraction form
    149,477.98/206,279.67 = 82,409.98/x
  3. Step 3: Cross multiply
    149,477.98x = 206,279.67 × 82,409.98
  4. Step 4: Simplify right side
    149,477.98x = 16,999,503,479.11
  5. Step 5: Solve for x
    x = 16,999,503,479.11/149,477.98
  6. Step 6: Final answer
    x = 113,725.80

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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.