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Finding the Fourth Proportional to 129,971.94, 194,874.45 and 54,123

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Solution

The fourth proportional to 129,971.94, 194,874.45 and 54,123 is: 81,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,971.94 : 194,874.45 = 54,123 : x
  2. Step 2: Convert to fraction form
    129,971.94/194,874.45 = 54,123/x
  3. Step 3: Cross multiply
    129,971.94x = 194,874.45 × 54,123
  4. Step 4: Simplify right side
    129,971.94x = 10,547,189,857.35
  5. Step 5: Solve for x
    x = 10,547,189,857.35/129,971.94
  6. Step 6: Final answer
    x = 81,149.75

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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.