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Finding the Fourth Proportional to 146,819.64, 220,200.30 and 71,907.60

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Solution

The fourth proportional to 146,819.64, 220,200.30 and 71,907.60 is: 107,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,819.64 : 220,200.30 = 71,907.60 : x
  2. Step 2: Convert to fraction form
    146,819.64/220,200.30 = 71,907.60/x
  3. Step 3: Cross multiply
    146,819.64x = 220,200.30 × 71,907.60
  4. Step 4: Simplify right side
    146,819.64x = 15,834,075,092.28
  5. Step 5: Solve for x
    x = 15,834,075,092.28/146,819.64
  6. Step 6: Final answer
    x = 107,847.12

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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.