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Finding the Fourth Proportional to 103,906.88, 155,617.32 and 51,146.72

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Solution

The fourth proportional to 103,906.88, 155,617.32 and 51,146.72 is: 76,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,906.88 : 155,617.32 = 51,146.72 : x
  2. Step 2: Convert to fraction form
    103,906.88/155,617.32 = 51,146.72/x
  3. Step 3: Cross multiply
    103,906.88x = 155,617.32 × 51,146.72
  4. Step 4: Simplify right side
    103,906.88x = 7,959,315,493.19
  5. Step 5: Solve for x
    x = 7,959,315,493.19/103,906.88
  6. Step 6: Final answer
    x = 76,600.47

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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.