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Finding the Fourth Proportional to 129,504.50, 194,284.54 and 73,371.50

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Solution

The fourth proportional to 129,504.50, 194,284.54 and 73,371.50 is: 110,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,504.50 : 194,284.54 = 73,371.50 : x
  2. Step 2: Convert to fraction form
    129,504.50/194,284.54 = 73,371.50/x
  3. Step 3: Cross multiply
    129,504.50x = 194,284.54 × 73,371.50
  4. Step 4: Simplify right side
    129,504.50x = 14,254,948,126.61
  5. Step 5: Solve for x
    x = 14,254,948,126.61/129,504.50
  6. Step 6: Final answer
    x = 110,072.99

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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.