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Finding the Fourth Proportional to 100,676.49, 138,935.27 and 55,356.33

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Solution

The fourth proportional to 100,676.49, 138,935.27 and 55,356.33 is: 76,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,676.49 : 138,935.27 = 55,356.33 : x
  2. Step 2: Convert to fraction form
    100,676.49/138,935.27 = 55,356.33/x
  3. Step 3: Cross multiply
    100,676.49x = 138,935.27 × 55,356.33
  4. Step 4: Simplify right side
    100,676.49x = 7,690,946,377.98
  5. Step 5: Solve for x
    x = 7,690,946,377.98/100,676.49
  6. Step 6: Final answer
    x = 76,392.67

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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.