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Finding the Fourth Proportional to 54,860.80, 82,302.72 and 17,920

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Solution

The fourth proportional to 54,860.80, 82,302.72 and 17,920 is: 26,883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,860.80 : 82,302.72 = 17,920 : x
  2. Step 2: Convert to fraction form
    54,860.80/82,302.72 = 17,920/x
  3. Step 3: Cross multiply
    54,860.80x = 82,302.72 × 17,920
  4. Step 4: Simplify right side
    54,860.80x = 1,474,864,742.40
  5. Step 5: Solve for x
    x = 1,474,864,742.40/54,860.80
  6. Step 6: Final answer
    x = 26,883.76

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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.