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Finding the Fourth Proportional to 54,802, 82,207.05 and 40,103.74

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Solution

The fourth proportional to 54,802, 82,207.05 and 40,103.74 is: 60,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,802 : 82,207.05 = 40,103.74 : x
  2. Step 2: Convert to fraction form
    54,802/82,207.05 = 40,103.74/x
  3. Step 3: Cross multiply
    54,802x = 82,207.05 × 40,103.74
  4. Step 4: Simplify right side
    54,802x = 3,296,810,159.37
  5. Step 5: Solve for x
    x = 3,296,810,159.37/54,802
  6. Step 6: Final answer
    x = 60,158.57

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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.