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Finding the Fourth Proportional to 51,341.76, 76,993.20 and 20,160

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Solution

The fourth proportional to 51,341.76, 76,993.20 and 20,160 is: 30,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,341.76 : 76,993.20 = 20,160 : x
  2. Step 2: Convert to fraction form
    51,341.76/76,993.20 = 20,160/x
  3. Step 3: Cross multiply
    51,341.76x = 76,993.20 × 20,160
  4. Step 4: Simplify right side
    51,341.76x = 1,552,182,912
  5. Step 5: Solve for x
    x = 1,552,182,912/51,341.76
  6. Step 6: Final answer
    x = 30,232.37

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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.