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Finding the Fourth Proportional to 135,201.87, 186,573.87 and 77,839.29

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Solution

The fourth proportional to 135,201.87, 186,573.87 and 77,839.29 is: 107,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,201.87 : 186,573.87 = 77,839.29 : x
  2. Step 2: Convert to fraction form
    135,201.87/186,573.87 = 77,839.29/x
  3. Step 3: Cross multiply
    135,201.87x = 186,573.87 × 77,839.29
  4. Step 4: Simplify right side
    135,201.87x = 14,522,777,573.35
  5. Step 5: Solve for x
    x = 14,522,777,573.35/135,201.87
  6. Step 6: Final answer
    x = 107,415.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.