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Finding the Fourth Proportional to 129,687.64, 194,521.38 and 40,943.80

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Solution

The fourth proportional to 129,687.64, 194,521.38 and 40,943.80 is: 61,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,687.64 : 194,521.38 = 40,943.80 : x
  2. Step 2: Convert to fraction form
    129,687.64/194,521.38 = 40,943.80/x
  3. Step 3: Cross multiply
    129,687.64x = 194,521.38 × 40,943.80
  4. Step 4: Simplify right side
    129,687.64x = 7,964,444,478.44
  5. Step 5: Solve for x
    x = 7,964,444,478.44/129,687.64
  6. Step 6: Final answer
    x = 61,412.52

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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.