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Finding the Fourth Proportional to 102,769.92, 154,154.08 and 52,864

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Solution

The fourth proportional to 102,769.92, 154,154.08 and 52,864 is: 79,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,769.92 : 154,154.08 = 52,864 : x
  2. Step 2: Convert to fraction form
    102,769.92/154,154.08 = 52,864/x
  3. Step 3: Cross multiply
    102,769.92x = 154,154.08 × 52,864
  4. Step 4: Simplify right side
    102,769.92x = 8,149,201,285.12
  5. Step 5: Solve for x
    x = 8,149,201,285.12/102,769.92
  6. Step 6: Final answer
    x = 79,295.59

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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.