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Finding the Fourth Proportional to 229,900, 344,850.08 and 72,140.80

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Solution

The fourth proportional to 229,900, 344,850.08 and 72,140.80 is: 108,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,900 : 344,850.08 = 72,140.80 : x
  2. Step 2: Convert to fraction form
    229,900/344,850.08 = 72,140.80/x
  3. Step 3: Cross multiply
    229,900x = 344,850.08 × 72,140.80
  4. Step 4: Simplify right side
    229,900x = 24,877,760,651.26
  5. Step 5: Solve for x
    x = 24,877,760,651.26/229,900
  6. Step 6: Final answer
    x = 108,211.23

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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.