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Finding the Fourth Proportional to 138,859.80, 208,290.48 and 33,678.84

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Solution

The fourth proportional to 138,859.80, 208,290.48 and 33,678.84 is: 50,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,859.80 : 208,290.48 = 33,678.84 : x
  2. Step 2: Convert to fraction form
    138,859.80/208,290.48 = 33,678.84/x
  3. Step 3: Cross multiply
    138,859.80x = 208,290.48 × 33,678.84
  4. Step 4: Simplify right side
    138,859.80x = 7,014,981,749.44
  5. Step 5: Solve for x
    x = 7,014,981,749.44/138,859.80
  6. Step 6: Final answer
    x = 50,518.45

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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.