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Finding the Fourth Proportional to 102,942.80, 154,183.80 and 84,510.80

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Solution

The fourth proportional to 102,942.80, 154,183.80 and 84,510.80 is: 126,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,942.80 : 154,183.80 = 84,510.80 : x
  2. Step 2: Convert to fraction form
    102,942.80/154,183.80 = 84,510.80/x
  3. Step 3: Cross multiply
    102,942.80x = 154,183.80 × 84,510.80
  4. Step 4: Simplify right side
    102,942.80x = 13,030,196,285.04
  5. Step 5: Solve for x
    x = 13,030,196,285.04/102,942.80
  6. Step 6: Final answer
    x = 126,577.05

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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.