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Finding the Fourth Proportional to 206,048.40, 308,842.20 and 87,699.60

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Solution

The fourth proportional to 206,048.40, 308,842.20 and 87,699.60 is: 131,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,048.40 : 308,842.20 = 87,699.60 : x
  2. Step 2: Convert to fraction form
    206,048.40/308,842.20 = 87,699.60/x
  3. Step 3: Cross multiply
    206,048.40x = 308,842.20 × 87,699.60
  4. Step 4: Simplify right side
    206,048.40x = 27,085,337,403.12
  5. Step 5: Solve for x
    x = 27,085,337,403.12/206,048.40
  6. Step 6: Final answer
    x = 131,451.34

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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.