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Finding the Fourth Proportional to 129,859.69, 194,877.02 and 50,964.61

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Solution

The fourth proportional to 129,859.69, 194,877.02 and 50,964.61 is: 76,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,859.69 : 194,877.02 = 50,964.61 : x
  2. Step 2: Convert to fraction form
    129,859.69/194,877.02 = 50,964.61/x
  3. Step 3: Cross multiply
    129,859.69x = 194,877.02 × 50,964.61
  4. Step 4: Simplify right side
    129,859.69x = 9,931,831,322.26
  5. Step 5: Solve for x
    x = 9,931,831,322.26/129,859.69
  6. Step 6: Final answer
    x = 76,481.25

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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.