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Finding the Fourth Proportional to 102,783, 154,175.31 and 36,207.88

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Solution

The fourth proportional to 102,783, 154,175.31 and 36,207.88 is: 54,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,783 : 154,175.31 = 36,207.88 : x
  2. Step 2: Convert to fraction form
    102,783/154,175.31 = 36,207.88/x
  3. Step 3: Cross multiply
    102,783x = 154,175.31 × 36,207.88
  4. Step 4: Simplify right side
    102,783x = 5,582,361,123.44
  5. Step 5: Solve for x
    x = 5,582,361,123.44/102,783
  6. Step 6: Final answer
    x = 54,312.11

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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.