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Finding the Fourth Proportional to 103,812.54, 155,149.91 and 75,791.60

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Solution

The fourth proportional to 103,812.54, 155,149.91 and 75,791.60 is: 113,272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,812.54 : 155,149.91 = 75,791.60 : x
  2. Step 2: Convert to fraction form
    103,812.54/155,149.91 = 75,791.60/x
  3. Step 3: Cross multiply
    103,812.54x = 155,149.91 × 75,791.60
  4. Step 4: Simplify right side
    103,812.54x = 11,759,060,056.41
  5. Step 5: Solve for x
    x = 11,759,060,056.41/103,812.54
  6. Step 6: Final answer
    x = 113,272.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.