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Finding the Fourth Proportional to 54,781.25, 82,171.88 and 13,228.25

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Solution

The fourth proportional to 54,781.25, 82,171.88 and 13,228.25 is: 19,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,781.25 : 82,171.88 = 13,228.25 : x
  2. Step 2: Convert to fraction form
    54,781.25/82,171.88 = 13,228.25/x
  3. Step 3: Cross multiply
    54,781.25x = 82,171.88 × 13,228.25
  4. Step 4: Simplify right side
    54,781.25x = 1,086,990,410.11
  5. Step 5: Solve for x
    x = 1,086,990,410.11/54,781.25
  6. Step 6: Final answer
    x = 19,842.38

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1.5x scale

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.