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Finding the Fourth Proportional to 147,582, 203,662.96 and 80,514

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Solution

The fourth proportional to 147,582, 203,662.96 and 80,514 is: 111,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,582 : 203,662.96 = 80,514 : x
  2. Step 2: Convert to fraction form
    147,582/203,662.96 = 80,514/x
  3. Step 3: Cross multiply
    147,582x = 203,662.96 × 80,514
  4. Step 4: Simplify right side
    147,582x = 16,397,719,561.44
  5. Step 5: Solve for x
    x = 16,397,719,561.44/147,582
  6. Step 6: Final answer
    x = 111,109.21

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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.