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Finding the Fourth Proportional to 208,511.85, 312,719.67 and 124,295.70

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Solution

The fourth proportional to 208,511.85, 312,719.67 and 124,295.70 is: 186,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,511.85 : 312,719.67 = 124,295.70 : x
  2. Step 2: Convert to fraction form
    208,511.85/312,719.67 = 124,295.70/x
  3. Step 3: Cross multiply
    208,511.85x = 312,719.67 × 124,295.70
  4. Step 4: Simplify right side
    208,511.85x = 38,869,710,286.42
  5. Step 5: Solve for x
    x = 38,869,710,286.42/208,511.85
  6. Step 6: Final answer
    x = 186,414.87

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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.