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Finding the Fourth Proportional to 129,842.30, 194,654.10 and 67,512.80

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Solution

The fourth proportional to 129,842.30, 194,654.10 and 67,512.80 is: 101,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,842.30 : 194,654.10 = 67,512.80 : x
  2. Step 2: Convert to fraction form
    129,842.30/194,654.10 = 67,512.80/x
  3. Step 3: Cross multiply
    129,842.30x = 194,654.10 × 67,512.80
  4. Step 4: Simplify right side
    129,842.30x = 13,141,643,322.48
  5. Step 5: Solve for x
    x = 13,141,643,322.48/129,842.30
  6. Step 6: Final answer
    x = 101,212.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.