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Finding the Fourth Proportional to 229,907.20, 344,871.60 and 72,140.80

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Solution

The fourth proportional to 229,907.20, 344,871.60 and 72,140.80 is: 108,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,907.20 : 344,871.60 = 72,140.80 : x
  2. Step 2: Convert to fraction form
    229,907.20/344,871.60 = 72,140.80/x
  3. Step 3: Cross multiply
    229,907.20x = 344,871.60 × 72,140.80
  4. Step 4: Simplify right side
    229,907.20x = 24,879,313,121.28
  5. Step 5: Solve for x
    x = 24,879,313,121.28/229,907.20
  6. Step 6: Final answer
    x = 108,214.59

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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.