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Finding the Fourth Proportional to 54,842, 82,263.45 and 13,289

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Solution

The fourth proportional to 54,842, 82,263.45 and 13,289 is: 19,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,842 : 82,263.45 = 13,289 : x
  2. Step 2: Convert to fraction form
    54,842/82,263.45 = 13,289/x
  3. Step 3: Cross multiply
    54,842x = 82,263.45 × 13,289
  4. Step 4: Simplify right side
    54,842x = 1,093,198,987.05
  5. Step 5: Solve for x
    x = 1,093,198,987.05/54,842
  6. Step 6: Final answer
    x = 19,933.61

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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.