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Finding the Fourth Proportional to 129,744.40, 194,309.40 and 87,965.20

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Solution

The fourth proportional to 129,744.40, 194,309.40 and 87,965.20 is: 131,739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,744.40 : 194,309.40 = 87,965.20 : x
  2. Step 2: Convert to fraction form
    129,744.40/194,309.40 = 87,965.20/x
  3. Step 3: Cross multiply
    129,744.40x = 194,309.40 × 87,965.20
  4. Step 4: Simplify right side
    129,744.40x = 17,092,465,232.88
  5. Step 5: Solve for x
    x = 17,092,465,232.88/129,744.40
  6. Step 6: Final answer
    x = 131,739.52

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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.