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Finding the Fourth Proportional to 138,490.40, 208,125.11 and 82,340.60

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Solution

The fourth proportional to 138,490.40, 208,125.11 and 82,340.60 is: 123,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,490.40 : 208,125.11 = 82,340.60 : x
  2. Step 2: Convert to fraction form
    138,490.40/208,125.11 = 82,340.60/x
  3. Step 3: Cross multiply
    138,490.40x = 208,125.11 × 82,340.60
  4. Step 4: Simplify right side
    138,490.40x = 17,137,145,597.69
  5. Step 5: Solve for x
    x = 17,137,145,597.69/138,490.40
  6. Step 6: Final answer
    x = 123,742.48

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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.