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Finding the Fourth Proportional to 54,780.50, 82,170.75 and 13,227.50

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Solution

The fourth proportional to 54,780.50, 82,170.75 and 13,227.50 is: 19,841.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,780.50 : 82,170.75 = 13,227.50 : x
  2. Step 2: Convert to fraction form
    54,780.50/82,170.75 = 13,227.50/x
  3. Step 3: Cross multiply
    54,780.50x = 82,170.75 × 13,227.50
  4. Step 4: Simplify right side
    54,780.50x = 1,086,913,850.66
  5. Step 5: Solve for x
    x = 1,086,913,850.66/54,780.50
  6. Step 6: Final answer
    x = 19,841.25

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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.