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Finding the Fourth Proportional to 51,383.84, 77,046.48 and 20,202.08

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Solution

The fourth proportional to 51,383.84, 77,046.48 and 20,202.08 is: 30,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,383.84 : 77,046.48 = 20,202.08 : x
  2. Step 2: Convert to fraction form
    51,383.84/77,046.48 = 20,202.08/x
  3. Step 3: Cross multiply
    51,383.84x = 77,046.48 × 20,202.08
  4. Step 4: Simplify right side
    51,383.84x = 1,556,499,152.68
  5. Step 5: Solve for x
    x = 1,556,499,152.68/51,383.84
  6. Step 6: Final answer
    x = 30,291.61

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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.