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Finding the Fourth Proportional to 129,940.96, 194,989.19 and 56,068.96

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Solution

The fourth proportional to 129,940.96, 194,989.19 and 56,068.96 is: 84,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,940.96 : 194,989.19 = 56,068.96 : x
  2. Step 2: Convert to fraction form
    129,940.96/194,989.19 = 56,068.96/x
  3. Step 3: Cross multiply
    129,940.96x = 194,989.19 × 56,068.96
  4. Step 4: Simplify right side
    129,940.96x = 10,932,840,119.60
  5. Step 5: Solve for x
    x = 10,932,840,119.60/129,940.96
  6. Step 6: Final answer
    x = 84,136.98

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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.