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Finding the Fourth Proportional to 54,758.74, 82,138.19 and 13,205.74

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Solution

The fourth proportional to 54,758.74, 82,138.19 and 13,205.74 is: 19,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,758.74 : 82,138.19 = 13,205.74 : x
  2. Step 2: Convert to fraction form
    54,758.74/82,138.19 = 13,205.74/x
  3. Step 3: Cross multiply
    54,758.74x = 82,138.19 × 13,205.74
  4. Step 4: Simplify right side
    54,758.74x = 1,084,695,581.21
  5. Step 5: Solve for x
    x = 1,084,695,581.21/54,758.74
  6. Step 6: Final answer
    x = 19,808.63

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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.