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Finding the Fourth Proportional to 55,317.71, 82,976.58 and 13,764.71

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Solution

The fourth proportional to 55,317.71, 82,976.58 and 13,764.71 is: 20,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,317.71 : 82,976.58 = 13,764.71 : x
  2. Step 2: Convert to fraction form
    55,317.71/82,976.58 = 13,764.71/x
  3. Step 3: Cross multiply
    55,317.71x = 82,976.58 × 13,764.71
  4. Step 4: Simplify right side
    55,317.71x = 1,142,148,560.49
  5. Step 5: Solve for x
    x = 1,142,148,560.49/55,317.71
  6. Step 6: Final answer
    x = 20,647.07

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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.