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Finding the Fourth Proportional to 201,781.30, 302,562.60 and 83,318.80

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Solution

The fourth proportional to 201,781.30, 302,562.60 and 83,318.80 is: 124,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,781.30 : 302,562.60 = 83,318.80 : x
  2. Step 2: Convert to fraction form
    201,781.30/302,562.60 = 83,318.80/x
  3. Step 3: Cross multiply
    201,781.30x = 302,562.60 × 83,318.80
  4. Step 4: Simplify right side
    201,781.30x = 25,209,152,756.88
  5. Step 5: Solve for x
    x = 25,209,152,756.88/201,781.30
  6. Step 6: Final answer
    x = 124,933.05

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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.