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Finding the Fourth Proportional to 149,618, 206,477.16 and 82,554.32

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Solution

The fourth proportional to 149,618, 206,477.16 and 82,554.32 is: 113,927.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,618 : 206,477.16 = 82,554.32 : x
  2. Step 2: Convert to fraction form
    149,618/206,477.16 = 82,554.32/x
  3. Step 3: Cross multiply
    149,618x = 206,477.16 × 82,554.32
  4. Step 4: Simplify right side
    149,618x = 17,045,581,539.33
  5. Step 5: Solve for x
    x = 17,045,581,539.33/149,618
  6. Step 6: Final answer
    x = 113,927.35

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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.