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Finding the Fourth Proportional to 129,955.52, 194,940.24 and 41,215.76

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Solution

The fourth proportional to 129,955.52, 194,940.24 and 41,215.76 is: 61,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,955.52 : 194,940.24 = 41,215.76 : x
  2. Step 2: Convert to fraction form
    129,955.52/194,940.24 = 41,215.76/x
  3. Step 3: Cross multiply
    129,955.52x = 194,940.24 × 41,215.76
  4. Step 4: Simplify right side
    129,955.52x = 8,034,610,146.18
  5. Step 5: Solve for x
    x = 8,034,610,146.18/129,955.52
  6. Step 6: Final answer
    x = 61,825.85

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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.