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Finding the Fourth Proportional to 30,200.60, 45,308.10 and 15,411.80

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Solution

The fourth proportional to 30,200.60, 45,308.10 and 15,411.80 is: 23,121.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.60 : 45,308.10 = 15,411.80 : x
  2. Step 2: Convert to fraction form
    30,200.60/45,308.10 = 15,411.80/x
  3. Step 3: Cross multiply
    30,200.60x = 45,308.10 × 15,411.80
  4. Step 4: Simplify right side
    30,200.60x = 698,279,375.58
  5. Step 5: Solve for x
    x = 698,279,375.58/30,200.60
  6. Step 6: Final answer
    x = 23,121.37

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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.