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Finding the Fourth Proportional to 129,648, 194,504.80 and 36,153.76

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Solution

The fourth proportional to 129,648, 194,504.80 and 36,153.76 is: 54,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,648 : 194,504.80 = 36,153.76 : x
  2. Step 2: Convert to fraction form
    129,648/194,504.80 = 36,153.76/x
  3. Step 3: Cross multiply
    129,648x = 194,504.80 × 36,153.76
  4. Step 4: Simplify right side
    129,648x = 7,032,079,858.05
  5. Step 5: Solve for x
    x = 7,032,079,858.05/129,648
  6. Step 6: Final answer
    x = 54,239.79

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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.