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Finding the Fourth Proportional to 129,259.80, 193,894.02 and 35,757.72

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Solution

The fourth proportional to 129,259.80, 193,894.02 and 35,757.72 is: 53,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,259.80 : 193,894.02 = 35,757.72 : x
  2. Step 2: Convert to fraction form
    129,259.80/193,894.02 = 35,757.72/x
  3. Step 3: Cross multiply
    129,259.80x = 193,894.02 × 35,757.72
  4. Step 4: Simplify right side
    129,259.80x = 6,933,208,076.83
  5. Step 5: Solve for x
    x = 6,933,208,076.83/129,259.80
  6. Step 6: Final answer
    x = 53,637.78

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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.