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Finding the Fourth Proportional to 147,586, 203,668.48 and 80,518

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Solution

The fourth proportional to 147,586, 203,668.48 and 80,518 is: 111,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,586 : 203,668.48 = 80,518 : x
  2. Step 2: Convert to fraction form
    147,586/203,668.48 = 80,518/x
  3. Step 3: Cross multiply
    147,586x = 203,668.48 × 80,518
  4. Step 4: Simplify right side
    147,586x = 16,398,978,672.64
  5. Step 5: Solve for x
    x = 16,398,978,672.64/147,586
  6. Step 6: Final answer
    x = 111,114.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.