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Finding the Fourth Proportional to 102,741.20, 154,090.20 and 43,578.80

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Solution

The fourth proportional to 102,741.20, 154,090.20 and 43,578.80 is: 65,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,741.20 : 154,090.20 = 43,578.80 : x
  2. Step 2: Convert to fraction form
    102,741.20/154,090.20 = 43,578.80/x
  3. Step 3: Cross multiply
    102,741.20x = 154,090.20 × 43,578.80
  4. Step 4: Simplify right side
    102,741.20x = 6,715,066,007.76
  5. Step 5: Solve for x
    x = 6,715,066,007.76/102,741.20
  6. Step 6: Final answer
    x = 65,359.04

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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.