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Finding the Fourth Proportional to 208,183.77, 312,276.60 and 50,411.97

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Solution

The fourth proportional to 208,183.77, 312,276.60 and 50,411.97 is: 75,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,183.77 : 312,276.60 = 50,411.97 : x
  2. Step 2: Convert to fraction form
    208,183.77/312,276.60 = 50,411.97/x
  3. Step 3: Cross multiply
    208,183.77x = 312,276.60 × 50,411.97
  4. Step 4: Simplify right side
    208,183.77x = 15,742,478,590.90
  5. Step 5: Solve for x
    x = 15,742,478,590.90/208,183.77
  6. Step 6: Final answer
    x = 75,618.18

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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.