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Finding the Fourth Proportional to 100,678.94, 138,937.47 and 55,359.85

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Solution

The fourth proportional to 100,678.94, 138,937.47 and 55,359.85 is: 76,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,678.94 : 138,937.47 = 55,359.85 : x
  2. Step 2: Convert to fraction form
    100,678.94/138,937.47 = 55,359.85/x
  3. Step 3: Cross multiply
    100,678.94x = 138,937.47 × 55,359.85
  4. Step 4: Simplify right side
    100,678.94x = 7,691,557,498.58
  5. Step 5: Solve for x
    x = 7,691,557,498.58/100,678.94
  6. Step 6: Final answer
    x = 76,396.89

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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.