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Finding the Fourth Proportional to 129,940.86, 194,927.69 and 45,681.21

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Solution

The fourth proportional to 129,940.86, 194,927.69 and 45,681.21 is: 68,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,940.86 : 194,927.69 = 45,681.21 : x
  2. Step 2: Convert to fraction form
    129,940.86/194,927.69 = 45,681.21/x
  3. Step 3: Cross multiply
    129,940.86x = 194,927.69 × 45,681.21
  4. Step 4: Simplify right side
    129,940.86x = 8,904,533,000.62
  5. Step 5: Solve for x
    x = 8,904,533,000.62/129,940.86
  6. Step 6: Final answer
    x = 68,527.59

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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.