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Finding the Fourth Proportional to 206,906.94, 310,361.40 and 62,814

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Solution

The fourth proportional to 206,906.94, 310,361.40 and 62,814 is: 94,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,906.94 : 310,361.40 = 62,814 : x
  2. Step 2: Convert to fraction form
    206,906.94/310,361.40 = 62,814/x
  3. Step 3: Cross multiply
    206,906.94x = 310,361.40 × 62,814
  4. Step 4: Simplify right side
    206,906.94x = 19,495,040,979.60
  5. Step 5: Solve for x
    x = 19,495,040,979.60/206,906.94
  6. Step 6: Final answer
    x = 94,221.30

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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.