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Finding the Fourth Proportional to 51,450.39, 77,184.77 and 18,189.77

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Solution

The fourth proportional to 51,450.39, 77,184.77 and 18,189.77 is: 27,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,450.39 : 77,184.77 = 18,189.77 : x
  2. Step 2: Convert to fraction form
    51,450.39/77,184.77 = 18,189.77/x
  3. Step 3: Cross multiply
    51,450.39x = 77,184.77 × 18,189.77
  4. Step 4: Simplify right side
    51,450.39x = 1,403,972,736.93
  5. Step 5: Solve for x
    x = 1,403,972,736.93/51,450.39
  6. Step 6: Final answer
    x = 27,287.89

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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.