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Finding the Fourth Proportional to 51,708.84, 77,563.50 and 20,544

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Solution

The fourth proportional to 51,708.84, 77,563.50 and 20,544 is: 30,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,708.84 : 77,563.50 = 20,544 : x
  2. Step 2: Convert to fraction form
    51,708.84/77,563.50 = 20,544/x
  3. Step 3: Cross multiply
    51,708.84x = 77,563.50 × 20,544
  4. Step 4: Simplify right side
    51,708.84x = 1,593,464,544
  5. Step 5: Solve for x
    x = 1,593,464,544/51,708.84
  6. Step 6: Final answer
    x = 30,816.10

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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.