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Finding the Fourth Proportional to 102,680.21, 154,020.21 and 38,650.31

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Solution

The fourth proportional to 102,680.21, 154,020.21 and 38,650.31 is: 57,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,680.21 : 154,020.21 = 38,650.31 : x
  2. Step 2: Convert to fraction form
    102,680.21/154,020.21 = 38,650.31/x
  3. Step 3: Cross multiply
    102,680.21x = 154,020.21 × 38,650.31
  4. Step 4: Simplify right side
    102,680.21x = 5,952,928,862.77
  5. Step 5: Solve for x
    x = 5,952,928,862.77/102,680.21
  6. Step 6: Final answer
    x = 57,975.43

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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.