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Finding the Fourth Proportional to 100,131.81, 138,185.40 and 54,809.82

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Solution

The fourth proportional to 100,131.81, 138,185.40 and 54,809.82 is: 75,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,131.81 : 138,185.40 = 54,809.82 : x
  2. Step 2: Convert to fraction form
    100,131.81/138,185.40 = 54,809.82/x
  3. Step 3: Cross multiply
    100,131.81x = 138,185.40 × 54,809.82
  4. Step 4: Simplify right side
    100,131.81x = 7,573,915,935.65
  5. Step 5: Solve for x
    x = 7,573,915,935.65/100,131.81
  6. Step 6: Final answer
    x = 75,639.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.