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Finding the Fourth Proportional to 54,964.70, 82,447.05 and 15,521.30

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Solution

The fourth proportional to 54,964.70, 82,447.05 and 15,521.30 is: 23,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,964.70 : 82,447.05 = 15,521.30 : x
  2. Step 2: Convert to fraction form
    54,964.70/82,447.05 = 15,521.30/x
  3. Step 3: Cross multiply
    54,964.70x = 82,447.05 × 15,521.30
  4. Step 4: Simplify right side
    54,964.70x = 1,279,685,397.17
  5. Step 5: Solve for x
    x = 1,279,685,397.17/54,964.70
  6. Step 6: Final answer
    x = 23,281.95

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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.