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Finding the Fourth Proportional to 54,742.39, 82,113.66 and 13,189.39

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Solution

The fourth proportional to 54,742.39, 82,113.66 and 13,189.39 is: 19,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,742.39 : 82,113.66 = 13,189.39 : x
  2. Step 2: Convert to fraction form
    54,742.39/82,113.66 = 13,189.39/x
  3. Step 3: Cross multiply
    54,742.39x = 82,113.66 × 13,189.39
  4. Step 4: Simplify right side
    54,742.39x = 1,083,029,086.07
  5. Step 5: Solve for x
    x = 1,083,029,086.07/54,742.39
  6. Step 6: Final answer
    x = 19,784.10

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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.