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Finding the Fourth Proportional to 163,440.84, 225,612 and 102,999.64

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Solution

The fourth proportional to 163,440.84, 225,612 and 102,999.64 is: 142,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,440.84 : 225,612 = 102,999.64 : x
  2. Step 2: Convert to fraction form
    163,440.84/225,612 = 102,999.64/x
  3. Step 3: Cross multiply
    163,440.84x = 225,612 × 102,999.64
  4. Step 4: Simplify right side
    163,440.84x = 23,237,954,779.68
  5. Step 5: Solve for x
    x = 23,237,954,779.68/163,440.84
  6. Step 6: Final answer
    x = 142,179.61

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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.