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Finding the Fourth Proportional to 102,945.80, 154,224.30 and 52,855.40

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Solution

The fourth proportional to 102,945.80, 154,224.30 and 52,855.40 is: 79,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,945.80 : 154,224.30 = 52,855.40 : x
  2. Step 2: Convert to fraction form
    102,945.80/154,224.30 = 52,855.40/x
  3. Step 3: Cross multiply
    102,945.80x = 154,224.30 × 52,855.40
  4. Step 4: Simplify right side
    102,945.80x = 8,151,587,066.22
  5. Step 5: Solve for x
    x = 8,151,587,066.22/102,945.80
  6. Step 6: Final answer
    x = 79,183.29

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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.