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Finding the Fourth Proportional to 129,228.40, 193,871.40 and 50,335.60

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Solution

The fourth proportional to 129,228.40, 193,871.40 and 50,335.60 is: 75,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,228.40 : 193,871.40 = 50,335.60 : x
  2. Step 2: Convert to fraction form
    129,228.40/193,871.40 = 50,335.60/x
  3. Step 3: Cross multiply
    129,228.40x = 193,871.40 × 50,335.60
  4. Step 4: Simplify right side
    129,228.40x = 9,758,633,241.84
  5. Step 5: Solve for x
    x = 9,758,633,241.84/129,228.40
  6. Step 6: Final answer
    x = 75,514.62

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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.