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Finding the Fourth Proportional to 201,761.60, 302,618.10 and 83,420.60

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Solution

The fourth proportional to 201,761.60, 302,618.10 and 83,420.60 is: 125,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,761.60 : 302,618.10 = 83,420.60 : x
  2. Step 2: Convert to fraction form
    201,761.60/302,618.10 = 83,420.60/x
  3. Step 3: Cross multiply
    201,761.60x = 302,618.10 × 83,420.60
  4. Step 4: Simplify right side
    201,761.60x = 25,244,583,472.86
  5. Step 5: Solve for x
    x = 25,244,583,472.86/201,761.60
  6. Step 6: Final answer
    x = 125,120.85

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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.