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Finding the Fourth Proportional to 168,998.32, 232,969.21 and 128,641.78

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Solution

The fourth proportional to 168,998.32, 232,969.21 and 128,641.78 is: 177,336.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,998.32 : 232,969.21 = 128,641.78 : x
  2. Step 2: Convert to fraction form
    168,998.32/232,969.21 = 128,641.78/x
  3. Step 3: Cross multiply
    168,998.32x = 232,969.21 × 128,641.78
  4. Step 4: Simplify right side
    168,998.32x = 29,969,573,859.59
  5. Step 5: Solve for x
    x = 29,969,573,859.59/168,998.32
  6. Step 6: Final answer
    x = 177,336.52

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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.