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Finding the Fourth Proportional to 211,951.92, 317,927.07 and 54,180.12

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Solution

The fourth proportional to 211,951.92, 317,927.07 and 54,180.12 is: 81,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,951.92 : 317,927.07 = 54,180.12 : x
  2. Step 2: Convert to fraction form
    211,951.92/317,927.07 = 54,180.12/x
  3. Step 3: Cross multiply
    211,951.92x = 317,927.07 × 54,180.12
  4. Step 4: Simplify right side
    211,951.92x = 17,225,326,803.85
  5. Step 5: Solve for x
    x = 17,225,326,803.85/211,951.92
  6. Step 6: Final answer
    x = 81,269.97

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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.