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Finding the Fourth Proportional to 149,989, 206,989.14 and 82,925.32

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Solution

The fourth proportional to 149,989, 206,989.14 and 82,925.32 is: 114,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,989 : 206,989.14 = 82,925.32 : x
  2. Step 2: Convert to fraction form
    149,989/206,989.14 = 82,925.32/x
  3. Step 3: Cross multiply
    149,989x = 206,989.14 × 82,925.32
  4. Step 4: Simplify right side
    149,989x = 17,164,640,671.02
  5. Step 5: Solve for x
    x = 17,164,640,671.02/149,989
  6. Step 6: Final answer
    x = 114,439.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.