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Finding the Fourth Proportional to 220,689.20, 331,206.60 and 102,375.20

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Solution

The fourth proportional to 220,689.20, 331,206.60 and 102,375.20 is: 153,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,689.20 : 331,206.60 = 102,375.20 : x
  2. Step 2: Convert to fraction form
    220,689.20/331,206.60 = 102,375.20/x
  3. Step 3: Cross multiply
    220,689.20x = 331,206.60 × 102,375.20
  4. Step 4: Simplify right side
    220,689.20x = 33,907,341,916.32
  5. Step 5: Solve for x
    x = 33,907,341,916.32/220,689.20
  6. Step 6: Final answer
    x = 153,642.96

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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.