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Finding the Fourth Proportional to 138,858.57, 208,244.70 and 50,100.53

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Solution

The fourth proportional to 138,858.57, 208,244.70 and 50,100.53 is: 75,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,858.57 : 208,244.70 = 50,100.53 : x
  2. Step 2: Convert to fraction form
    138,858.57/208,244.70 = 50,100.53/x
  3. Step 3: Cross multiply
    138,858.57x = 208,244.70 × 50,100.53
  4. Step 4: Simplify right side
    138,858.57x = 10,433,168,798.47
  5. Step 5: Solve for x
    x = 10,433,168,798.47/138,858.57
  6. Step 6: Final answer
    x = 75,135.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.