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Finding the Fourth Proportional to 103,213.60, 154,685.04 and 74,845.60

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Solution

The fourth proportional to 103,213.60, 154,685.04 and 74,845.60 is: 112,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,213.60 : 154,685.04 = 74,845.60 : x
  2. Step 2: Convert to fraction form
    103,213.60/154,685.04 = 74,845.60/x
  3. Step 3: Cross multiply
    103,213.60x = 154,685.04 × 74,845.60
  4. Step 4: Simplify right side
    103,213.60x = 11,577,494,629.82
  5. Step 5: Solve for x
    x = 11,577,494,629.82/103,213.60
  6. Step 6: Final answer
    x = 112,170.24

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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.