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Finding the Fourth Proportional to 129,704.63, 178,995.12 and 73,116

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Solution

The fourth proportional to 129,704.63, 178,995.12 and 73,116 is: 100,901.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,704.63 : 178,995.12 = 73,116 : x
  2. Step 2: Convert to fraction form
    129,704.63/178,995.12 = 73,116/x
  3. Step 3: Cross multiply
    129,704.63x = 178,995.12 × 73,116
  4. Step 4: Simplify right side
    129,704.63x = 13,087,407,193.92
  5. Step 5: Solve for x
    x = 13,087,407,193.92/129,704.63
  6. Step 6: Final answer
    x = 100,901.62

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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.