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Finding the Fourth Proportional to 129,463.28, 194,270.40 and 54,578.84

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Solution

The fourth proportional to 129,463.28, 194,270.40 and 54,578.84 is: 81,900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,463.28 : 194,270.40 = 54,578.84 : x
  2. Step 2: Convert to fraction form
    129,463.28/194,270.40 = 54,578.84/x
  3. Step 3: Cross multiply
    129,463.28x = 194,270.40 × 54,578.84
  4. Step 4: Simplify right side
    129,463.28x = 10,603,053,078.34
  5. Step 5: Solve for x
    x = 10,603,053,078.34/129,463.28
  6. Step 6: Final answer
    x = 81,900.08

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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.