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Finding the Fourth Proportional to 135,351, 186,784.38 and 75,735

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Solution

The fourth proportional to 135,351, 186,784.38 and 75,735 is: 104,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,351 : 186,784.38 = 75,735 : x
  2. Step 2: Convert to fraction form
    135,351/186,784.38 = 75,735/x
  3. Step 3: Cross multiply
    135,351x = 186,784.38 × 75,735
  4. Step 4: Simplify right side
    135,351x = 14,146,115,019.30
  5. Step 5: Solve for x
    x = 14,146,115,019.30/135,351
  6. Step 6: Final answer
    x = 104,514.30

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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.