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Finding the Fourth Proportional to 135,458, 186,942.57 and 75,034.26

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Solution

The fourth proportional to 135,458, 186,942.57 and 75,034.26 is: 103,553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,458 : 186,942.57 = 75,034.26 : x
  2. Step 2: Convert to fraction form
    135,458/186,942.57 = 75,034.26/x
  3. Step 3: Cross multiply
    135,458x = 186,942.57 × 75,034.26
  4. Step 4: Simplify right side
    135,458x = 14,027,097,402.45
  5. Step 5: Solve for x
    x = 14,027,097,402.45/135,458
  6. Step 6: Final answer
    x = 103,553.11

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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.