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Finding the Fourth Proportional to 138,515.65, 207,743.30 and 37,311.21

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Solution

The fourth proportional to 138,515.65, 207,743.30 and 37,311.21 is: 55,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,515.65 : 207,743.30 = 37,311.21 : x
  2. Step 2: Convert to fraction form
    138,515.65/207,743.30 = 37,311.21/x
  3. Step 3: Cross multiply
    138,515.65x = 207,743.30 × 37,311.21
  4. Step 4: Simplify right side
    138,515.65x = 7,751,153,186.48
  5. Step 5: Solve for x
    x = 7,751,153,186.48/138,515.65
  6. Step 6: Final answer
    x = 55,958.68

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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.