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Finding the Fourth Proportional to 51,347.76, 77,002.20 and 20,166

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Solution

The fourth proportional to 51,347.76, 77,002.20 and 20,166 is: 30,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,347.76 : 77,002.20 = 20,166 : x
  2. Step 2: Convert to fraction form
    51,347.76/77,002.20 = 20,166/x
  3. Step 3: Cross multiply
    51,347.76x = 77,002.20 × 20,166
  4. Step 4: Simplify right side
    51,347.76x = 1,552,826,365.20
  5. Step 5: Solve for x
    x = 1,552,826,365.20/51,347.76
  6. Step 6: Final answer
    x = 30,241.37

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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.