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Finding the Fourth Proportional to 135,618.93, 203,405.31 and 35,780.09

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Solution

The fourth proportional to 135,618.93, 203,405.31 and 35,780.09 is: 53,664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,618.93 : 203,405.31 = 35,780.09 : x
  2. Step 2: Convert to fraction form
    135,618.93/203,405.31 = 35,780.09/x
  3. Step 3: Cross multiply
    135,618.93x = 203,405.31 × 35,780.09
  4. Step 4: Simplify right side
    135,618.93x = 7,277,859,281.25
  5. Step 5: Solve for x
    x = 7,277,859,281.25/135,618.93
  6. Step 6: Final answer
    x = 53,664.04

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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.