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Finding the Fourth Proportional to 208,411.74, 312,616.80 and 50,640.66

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Solution

The fourth proportional to 208,411.74, 312,616.80 and 50,640.66 is: 75,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,411.74 : 312,616.80 = 50,640.66 : x
  2. Step 2: Convert to fraction form
    208,411.74/312,616.80 = 50,640.66/x
  3. Step 3: Cross multiply
    208,411.74x = 312,616.80 × 50,640.66
  4. Step 4: Simplify right side
    208,411.74x = 15,831,121,079.09
  5. Step 5: Solve for x
    x = 15,831,121,079.09/208,411.74
  6. Step 6: Final answer
    x = 75,960.79

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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.