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Finding the Fourth Proportional to 45,668.56, 68,541.72 and 17,986

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Solution

The fourth proportional to 45,668.56, 68,541.72 and 17,986 is: 26,994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,668.56 : 68,541.72 = 17,986 : x
  2. Step 2: Convert to fraction form
    45,668.56/68,541.72 = 17,986/x
  3. Step 3: Cross multiply
    45,668.56x = 68,541.72 × 17,986
  4. Step 4: Simplify right side
    45,668.56x = 1,232,791,375.92
  5. Step 5: Solve for x
    x = 1,232,791,375.92/45,668.56
  6. Step 6: Final answer
    x = 26,994.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.