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Finding the Fourth Proportional to 103,678.53, 155,517.80 and 51,190.53

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Solution

The fourth proportional to 103,678.53, 155,517.80 and 51,190.53 is: 76,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,678.53 : 155,517.80 = 51,190.53 : x
  2. Step 2: Convert to fraction form
    103,678.53/155,517.80 = 51,190.53/x
  3. Step 3: Cross multiply
    103,678.53x = 155,517.80 × 51,190.53
  4. Step 4: Simplify right side
    103,678.53x = 7,961,038,606.43
  5. Step 5: Solve for x
    x = 7,961,038,606.43/103,678.53
  6. Step 6: Final answer
    x = 76,785.80

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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.