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Finding the Fourth Proportional to 138,995.66, 208,505.73 and 39,156.68

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Solution

The fourth proportional to 138,995.66, 208,505.73 and 39,156.68 is: 58,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,995.66 : 208,505.73 = 39,156.68 : x
  2. Step 2: Convert to fraction form
    138,995.66/208,505.73 = 39,156.68/x
  3. Step 3: Cross multiply
    138,995.66x = 208,505.73 × 39,156.68
  4. Step 4: Simplify right side
    138,995.66x = 8,164,392,147.78
  5. Step 5: Solve for x
    x = 8,164,392,147.78/138,995.66
  6. Step 6: Final answer
    x = 58,738.47

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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.