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Finding the Fourth Proportional to 138,722.85, 208,090.34 and 43,960.02

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Solution

The fourth proportional to 138,722.85, 208,090.34 and 43,960.02 is: 65,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,722.85 : 208,090.34 = 43,960.02 : x
  2. Step 2: Convert to fraction form
    138,722.85/208,090.34 = 43,960.02/x
  3. Step 3: Cross multiply
    138,722.85x = 208,090.34 × 43,960.02
  4. Step 4: Simplify right side
    138,722.85x = 9,147,654,672.92
  5. Step 5: Solve for x
    x = 9,147,654,672.92/138,722.85
  6. Step 6: Final answer
    x = 65,941.95

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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.