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Finding the Fourth Proportional to 138,346.82, 207,527.73 and 43,584.47

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Solution

The fourth proportional to 138,346.82, 207,527.73 and 43,584.47 is: 65,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,346.82 : 207,527.73 = 43,584.47 : x
  2. Step 2: Convert to fraction form
    138,346.82/207,527.73 = 43,584.47/x
  3. Step 3: Cross multiply
    138,346.82x = 207,527.73 × 43,584.47
  4. Step 4: Simplify right side
    138,346.82x = 9,044,986,122.35
  5. Step 5: Solve for x
    x = 9,044,986,122.35/138,346.82
  6. Step 6: Final answer
    x = 65,379.07

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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.