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Finding the Fourth Proportional to 54,741.39, 82,112.16 and 13,188.39

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Solution

The fourth proportional to 54,741.39, 82,112.16 and 13,188.39 is: 19,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,741.39 : 82,112.16 = 13,188.39 : x
  2. Step 2: Convert to fraction form
    54,741.39/82,112.16 = 13,188.39/x
  3. Step 3: Cross multiply
    54,741.39x = 82,112.16 × 13,188.39
  4. Step 4: Simplify right side
    54,741.39x = 1,082,927,189.82
  5. Step 5: Solve for x
    x = 1,082,927,189.82/54,741.39
  6. Step 6: Final answer
    x = 19,782.60

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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.