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Finding the Fourth Proportional to 141,052.94, 194,653.31 and 77,391.20

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Solution

The fourth proportional to 141,052.94, 194,653.31 and 77,391.20 is: 106,799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,052.94 : 194,653.31 = 77,391.20 : x
  2. Step 2: Convert to fraction form
    141,052.94/194,653.31 = 77,391.20/x
  3. Step 3: Cross multiply
    141,052.94x = 194,653.31 × 77,391.20
  4. Step 4: Simplify right side
    141,052.94x = 15,064,451,884.65
  5. Step 5: Solve for x
    x = 15,064,451,884.65/141,052.94
  6. Step 6: Final answer
    x = 106,799.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.