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Finding the Fourth Proportional to 137,847.40, 206,511.90 and 71,060.20

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Solution

The fourth proportional to 137,847.40, 206,511.90 and 71,060.20 is: 106,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,847.40 : 206,511.90 = 71,060.20 : x
  2. Step 2: Convert to fraction form
    137,847.40/206,511.90 = 71,060.20/x
  3. Step 3: Cross multiply
    137,847.40x = 206,511.90 × 71,060.20
  4. Step 4: Simplify right side
    137,847.40x = 14,674,776,916.38
  5. Step 5: Solve for x
    x = 14,674,776,916.38/137,847.40
  6. Step 6: Final answer
    x = 106,456.68

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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.