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Finding the Fourth Proportional to 149,568.66, 206,396.64 and 85,906.47

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Solution

The fourth proportional to 149,568.66, 206,396.64 and 85,906.47 is: 118,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,568.66 : 206,396.64 = 85,906.47 : x
  2. Step 2: Convert to fraction form
    149,568.66/206,396.64 = 85,906.47/x
  3. Step 3: Cross multiply
    149,568.66x = 206,396.64 × 85,906.47
  4. Step 4: Simplify right side
    149,568.66x = 17,730,807,536.25
  5. Step 5: Solve for x
    x = 17,730,807,536.25/149,568.66
  6. Step 6: Final answer
    x = 118,546.28

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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.