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Finding the Fourth Proportional to 138,993.14, 208,410.70 and 54,707.61

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Solution

The fourth proportional to 138,993.14, 208,410.70 and 54,707.61 is: 82,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,993.14 : 208,410.70 = 54,707.61 : x
  2. Step 2: Convert to fraction form
    138,993.14/208,410.70 = 54,707.61/x
  3. Step 3: Cross multiply
    138,993.14x = 208,410.70 × 54,707.61
  4. Step 4: Simplify right side
    138,993.14x = 11,401,651,295.43
  5. Step 5: Solve for x
    x = 11,401,651,295.43/138,993.14
  6. Step 6: Final answer
    x = 82,030.32

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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.