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Finding the Fourth Proportional to 137,750.70, 206,545.75 and 53,412.34

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Solution

The fourth proportional to 137,750.70, 206,545.75 and 53,412.34 is: 80,087.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,750.70 : 206,545.75 = 53,412.34 : x
  2. Step 2: Convert to fraction form
    137,750.70/206,545.75 = 53,412.34/x
  3. Step 3: Cross multiply
    137,750.70x = 206,545.75 × 53,412.34
  4. Step 4: Simplify right side
    137,750.70x = 11,032,091,824.56
  5. Step 5: Solve for x
    x = 11,032,091,824.56/137,750.70
  6. Step 6: Final answer
    x = 80,087.37

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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.