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Finding the Fourth Proportional to 149,115, 205,783.02 and 82,047

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Solution

The fourth proportional to 149,115, 205,783.02 and 82,047 is: 113,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,115 : 205,783.02 = 82,047 : x
  2. Step 2: Convert to fraction form
    149,115/205,783.02 = 82,047/x
  3. Step 3: Cross multiply
    149,115x = 205,783.02 × 82,047
  4. Step 4: Simplify right side
    149,115x = 16,883,879,441.94
  5. Step 5: Solve for x
    x = 16,883,879,441.94/149,115
  6. Step 6: Final answer
    x = 113,227.24

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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.