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Finding the Fourth Proportional to 54,782.50, 82,173.76 and 13,229.50

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Solution

The fourth proportional to 54,782.50, 82,173.76 and 13,229.50 is: 19,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,782.50 : 82,173.76 = 13,229.50 : x
  2. Step 2: Convert to fraction form
    54,782.50/82,173.76 = 13,229.50/x
  3. Step 3: Cross multiply
    54,782.50x = 82,173.76 × 13,229.50
  4. Step 4: Simplify right side
    54,782.50x = 1,087,117,757.92
  5. Step 5: Solve for x
    x = 1,087,117,757.92/54,782.50
  6. Step 6: Final answer
    x = 19,844.25

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1.5x scale

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.