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Finding the Fourth Proportional to 138,658.05, 208,012.77 and 43,912.14

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Solution

The fourth proportional to 138,658.05, 208,012.77 and 43,912.14 is: 65,876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,658.05 : 208,012.77 = 43,912.14 : x
  2. Step 2: Convert to fraction form
    138,658.05/208,012.77 = 43,912.14/x
  3. Step 3: Cross multiply
    138,658.05x = 208,012.77 × 43,912.14
  4. Step 4: Simplify right side
    138,658.05x = 9,134,285,878.03
  5. Step 5: Solve for x
    x = 9,134,285,878.03/138,658.05
  6. Step 6: Final answer
    x = 65,876.35

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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.