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Finding the Fourth Proportional to 137,790.72, 206,732.10 and 53,553.63

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Solution

The fourth proportional to 137,790.72, 206,732.10 and 53,553.63 is: 80,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,790.72 : 206,732.10 = 53,553.63 : x
  2. Step 2: Convert to fraction form
    137,790.72/206,732.10 = 53,553.63/x
  3. Step 3: Cross multiply
    137,790.72x = 206,732.10 × 53,553.63
  4. Step 4: Simplify right side
    137,790.72x = 11,071,254,485.92
  5. Step 5: Solve for x
    x = 11,071,254,485.92/137,790.72
  6. Step 6: Final answer
    x = 80,348.33

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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.