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Finding the Fourth Proportional to 41,134.40, 61,687.20 and 21,406.40

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Solution

The fourth proportional to 41,134.40, 61,687.20 and 21,406.40 is: 32,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,134.40 : 61,687.20 = 21,406.40 : x
  2. Step 2: Convert to fraction form
    41,134.40/61,687.20 = 21,406.40/x
  3. Step 3: Cross multiply
    41,134.40x = 61,687.20 × 21,406.40
  4. Step 4: Simplify right side
    41,134.40x = 1,320,500,878.08
  5. Step 5: Solve for x
    x = 1,320,500,878.08/41,134.40
  6. Step 6: Final answer
    x = 32,102.11

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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.