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Finding the Fourth Proportional to 48,479.70, 72,721.26 and 13,422

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Solution

The fourth proportional to 48,479.70, 72,721.26 and 13,422 is: 20,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,479.70 : 72,721.26 = 13,422 : x
  2. Step 2: Convert to fraction form
    48,479.70/72,721.26 = 13,422/x
  3. Step 3: Cross multiply
    48,479.70x = 72,721.26 × 13,422
  4. Step 4: Simplify right side
    48,479.70x = 976,064,751.72
  5. Step 5: Solve for x
    x = 976,064,751.72/48,479.70
  6. Step 6: Final answer
    x = 20,133.47

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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.