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Finding the Fourth Proportional to 223,202.48, 334,910.85 and 138,940.64

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Solution

The fourth proportional to 223,202.48, 334,910.85 and 138,940.64 is: 208,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,202.48 : 334,910.85 = 138,940.64 : x
  2. Step 2: Convert to fraction form
    223,202.48/334,910.85 = 138,940.64/x
  3. Step 3: Cross multiply
    223,202.48x = 334,910.85 × 138,940.64
  4. Step 4: Simplify right side
    223,202.48x = 46,532,727,841.94
  5. Step 5: Solve for x
    x = 46,532,727,841.94/223,202.48
  6. Step 6: Final answer
    x = 208,477.65

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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.