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Finding the Fourth Proportional to 100,698.84, 138,961.46 and 55,376.78

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Solution

The fourth proportional to 100,698.84, 138,961.46 and 55,376.78 is: 76,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698.84 : 138,961.46 = 55,376.78 : x
  2. Step 2: Convert to fraction form
    100,698.84/138,961.46 = 55,376.78/x
  3. Step 3: Cross multiply
    100,698.84x = 138,961.46 × 55,376.78
  4. Step 4: Simplify right side
    100,698.84x = 7,695,237,227.21
  5. Step 5: Solve for x
    x = 7,695,237,227.21/100,698.84
  6. Step 6: Final answer
    x = 76,418.33

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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.