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Finding the Fourth Proportional to 54,965.50, 82,448.44 and 13,412.50

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Solution

The fourth proportional to 54,965.50, 82,448.44 and 13,412.50 is: 20,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,965.50 : 82,448.44 = 13,412.50 : x
  2. Step 2: Convert to fraction form
    54,965.50/82,448.44 = 13,412.50/x
  3. Step 3: Cross multiply
    54,965.50x = 82,448.44 × 13,412.50
  4. Step 4: Simplify right side
    54,965.50x = 1,105,839,701.50
  5. Step 5: Solve for x
    x = 1,105,839,701.50/54,965.50
  6. Step 6: Final answer
    x = 20,118.80

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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.