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Finding the Fourth Proportional to 168,406.31, 232,394.90 and 100,388.18

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Solution

The fourth proportional to 168,406.31, 232,394.90 and 100,388.18 is: 138,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,406.31 : 232,394.90 = 100,388.18 : x
  2. Step 2: Convert to fraction form
    168,406.31/232,394.90 = 100,388.18/x
  3. Step 3: Cross multiply
    168,406.31x = 232,394.90 × 100,388.18
  4. Step 4: Simplify right side
    168,406.31x = 23,329,699,388.37
  5. Step 5: Solve for x
    x = 23,329,699,388.37/168,406.31
  6. Step 6: Final answer
    x = 138,532.22

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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.