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Finding the Fourth Proportional to 168,406.19, 232,394.72 and 100,388.11

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Solution

The fourth proportional to 168,406.19, 232,394.72 and 100,388.11 is: 138,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,406.19 : 232,394.72 = 100,388.11 : x
  2. Step 2: Convert to fraction form
    168,406.19/232,394.72 = 100,388.11/x
  3. Step 3: Cross multiply
    168,406.19x = 232,394.72 × 100,388.11
  4. Step 4: Simplify right side
    168,406.19x = 23,329,666,632.28
  5. Step 5: Solve for x
    x = 23,329,666,632.28/168,406.19
  6. Step 6: Final answer
    x = 138,532.12

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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.