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Finding the Fourth Proportional to 41,138.40, 61,693.20 and 21,410.40

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Solution

The fourth proportional to 41,138.40, 61,693.20 and 21,410.40 is: 32,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,138.40 : 61,693.20 = 21,410.40 : x
  2. Step 2: Convert to fraction form
    41,138.40/61,693.20 = 21,410.40/x
  3. Step 3: Cross multiply
    41,138.40x = 61,693.20 × 21,410.40
  4. Step 4: Simplify right side
    41,138.40x = 1,320,876,089.28
  5. Step 5: Solve for x
    x = 1,320,876,089.28/41,138.40
  6. Step 6: Final answer
    x = 32,108.11

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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.