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Finding the Fourth Proportional to 51,980.25, 77,980 and 16,450.51

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Solution

The fourth proportional to 51,980.25, 77,980 and 16,450.51 is: 24,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,980.25 : 77,980 = 16,450.51 : x
  2. Step 2: Convert to fraction form
    51,980.25/77,980 = 16,450.51/x
  3. Step 3: Cross multiply
    51,980.25x = 77,980 × 16,450.51
  4. Step 4: Simplify right side
    51,980.25x = 1,282,810,769.80
  5. Step 5: Solve for x
    x = 1,282,810,769.80/51,980.25
  6. Step 6: Final answer
    x = 24,678.81

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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.