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Finding the Fourth Proportional to 137,581.80, 206,252.70 and 53,399.40

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Solution

The fourth proportional to 137,581.80, 206,252.70 and 53,399.40 is: 80,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,581.80 : 206,252.70 = 53,399.40 : x
  2. Step 2: Convert to fraction form
    137,581.80/206,252.70 = 53,399.40/x
  3. Step 3: Cross multiply
    137,581.80x = 206,252.70 × 53,399.40
  4. Step 4: Simplify right side
    137,581.80x = 11,013,770,428.38
  5. Step 5: Solve for x
    x = 11,013,770,428.38/137,581.80
  6. Step 6: Final answer
    x = 80,052.52

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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.