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Finding the Fourth Proportional to 102,991.20, 154,400.40 and 53,743.20

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Solution

The fourth proportional to 102,991.20, 154,400.40 and 53,743.20 is: 80,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,991.20 : 154,400.40 = 53,743.20 : x
  2. Step 2: Convert to fraction form
    102,991.20/154,400.40 = 53,743.20/x
  3. Step 3: Cross multiply
    102,991.20x = 154,400.40 × 53,743.20
  4. Step 4: Simplify right side
    102,991.20x = 8,297,971,577.28
  5. Step 5: Solve for x
    x = 8,297,971,577.28/102,991.20
  6. Step 6: Final answer
    x = 80,569.71

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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.