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Finding the Fourth Proportional to 208,874.40, 313,311.60 and 103,898.40

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Solution

The fourth proportional to 208,874.40, 313,311.60 and 103,898.40 is: 155,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,874.40 : 313,311.60 = 103,898.40 : x
  2. Step 2: Convert to fraction form
    208,874.40/313,311.60 = 103,898.40/x
  3. Step 3: Cross multiply
    208,874.40x = 313,311.60 × 103,898.40
  4. Step 4: Simplify right side
    208,874.40x = 32,552,573,941.44
  5. Step 5: Solve for x
    x = 32,552,573,941.44/208,874.40
  6. Step 6: Final answer
    x = 155,847.60

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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.