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Finding the Fourth Proportional to 51,381.76, 77,053.20 and 20,200

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Solution

The fourth proportional to 51,381.76, 77,053.20 and 20,200 is: 30,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,381.76 : 77,053.20 = 20,200 : x
  2. Step 2: Convert to fraction form
    51,381.76/77,053.20 = 20,200/x
  3. Step 3: Cross multiply
    51,381.76x = 77,053.20 × 20,200
  4. Step 4: Simplify right side
    51,381.76x = 1,556,474,640
  5. Step 5: Solve for x
    x = 1,556,474,640/51,381.76
  6. Step 6: Final answer
    x = 30,292.36

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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.