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Finding the Fourth Proportional to 149,174.46, 205,860.78 and 82,106.46

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Solution

The fourth proportional to 149,174.46, 205,860.78 and 82,106.46 is: 113,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,174.46 : 205,860.78 = 82,106.46 : x
  2. Step 2: Convert to fraction form
    149,174.46/205,860.78 = 82,106.46/x
  3. Step 3: Cross multiply
    149,174.46x = 205,860.78 × 82,106.46
  4. Step 4: Simplify right side
    149,174.46x = 16,902,499,898.64
  5. Step 5: Solve for x
    x = 16,902,499,898.64/149,174.46
  6. Step 6: Final answer
    x = 113,306.93

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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.