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Finding the Fourth Proportional to 51,348.76, 77,003.70 and 20,167

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Solution

The fourth proportional to 51,348.76, 77,003.70 and 20,167 is: 30,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,348.76 : 77,003.70 = 20,167 : x
  2. Step 2: Convert to fraction form
    51,348.76/77,003.70 = 20,167/x
  3. Step 3: Cross multiply
    51,348.76x = 77,003.70 × 20,167
  4. Step 4: Simplify right side
    51,348.76x = 1,552,933,617.90
  5. Step 5: Solve for x
    x = 1,552,933,617.90/51,348.76
  6. Step 6: Final answer
    x = 30,242.87

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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.