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Finding the Fourth Proportional to 102,939.70, 154,421.99 and 36,366.20

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Solution

The fourth proportional to 102,939.70, 154,421.99 and 36,366.20 is: 54,553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,939.70 : 154,421.99 = 36,366.20 : x
  2. Step 2: Convert to fraction form
    102,939.70/154,421.99 = 36,366.20/x
  3. Step 3: Cross multiply
    102,939.70x = 154,421.99 × 36,366.20
  4. Step 4: Simplify right side
    102,939.70x = 5,615,740,972.74
  5. Step 5: Solve for x
    x = 5,615,740,972.74/102,939.70
  6. Step 6: Final answer
    x = 54,553.69

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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.