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Finding the Fourth Proportional to 201,835.87, 302,894.34 and 83,507.83

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Solution

The fourth proportional to 201,835.87, 302,894.34 and 83,507.83 is: 125,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,835.87 : 302,894.34 = 83,507.83 : x
  2. Step 2: Convert to fraction form
    201,835.87/302,894.34 = 83,507.83/x
  3. Step 3: Cross multiply
    201,835.87x = 302,894.34 × 83,507.83
  4. Step 4: Simplify right side
    201,835.87x = 25,294,049,052.68
  5. Step 5: Solve for x
    x = 25,294,049,052.68/201,835.87
  6. Step 6: Final answer
    x = 125,319.89

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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.