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Finding the Fourth Proportional to 103,406.40, 155,138.40 and 50,817.60

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Solution

The fourth proportional to 103,406.40, 155,138.40 and 50,817.60 is: 76,240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,406.40 : 155,138.40 = 50,817.60 : x
  2. Step 2: Convert to fraction form
    103,406.40/155,138.40 = 50,817.60/x
  3. Step 3: Cross multiply
    103,406.40x = 155,138.40 × 50,817.60
  4. Step 4: Simplify right side
    103,406.40x = 7,883,761,155.84
  5. Step 5: Solve for x
    x = 7,883,761,155.84/103,406.40
  6. Step 6: Final answer
    x = 76,240.55

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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.