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Finding the Fourth Proportional to 137,704.34, 206,390.43 and 71,108.17

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Solution

The fourth proportional to 137,704.34, 206,390.43 and 71,108.17 is: 106,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,704.34 : 206,390.43 = 71,108.17 : x
  2. Step 2: Convert to fraction form
    137,704.34/206,390.43 = 71,108.17/x
  3. Step 3: Cross multiply
    137,704.34x = 206,390.43 × 71,108.17
  4. Step 4: Simplify right side
    137,704.34x = 14,676,045,266.84
  5. Step 5: Solve for x
    x = 14,676,045,266.84/137,704.34
  6. Step 6: Final answer
    x = 106,576.49

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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.