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Finding the Fourth Proportional to 73,563.84, 110,329.20 and 20,972.16

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Solution

The fourth proportional to 73,563.84, 110,329.20 and 20,972.16 is: 31,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,563.84 : 110,329.20 = 20,972.16 : x
  2. Step 2: Convert to fraction form
    73,563.84/110,329.20 = 20,972.16/x
  3. Step 3: Cross multiply
    73,563.84x = 110,329.20 × 20,972.16
  4. Step 4: Simplify right side
    73,563.84x = 2,313,841,635.07
  5. Step 5: Solve for x
    x = 2,313,841,635.07/73,563.84
  6. Step 6: Final answer
    x = 31,453.52

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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.