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Finding the Fourth Proportional to 21,234, 31,846.92 and 20,180.32

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Solution

The fourth proportional to 21,234, 31,846.92 and 20,180.32 is: 30,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234 : 31,846.92 = 20,180.32 : x
  2. Step 2: Convert to fraction form
    21,234/31,846.92 = 20,180.32/x
  3. Step 3: Cross multiply
    21,234x = 31,846.92 × 20,180.32
  4. Step 4: Simplify right side
    21,234x = 642,681,036.61
  5. Step 5: Solve for x
    x = 642,681,036.61/21,234
  6. Step 6: Final answer
    x = 30,266.60

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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.