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Finding the Fourth Proportional to 41,108.64, 61,669.36 and 13,400.16

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Solution

The fourth proportional to 41,108.64, 61,669.36 and 13,400.16 is: 20,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,108.64 : 61,669.36 = 13,400.16 : x
  2. Step 2: Convert to fraction form
    41,108.64/61,669.36 = 13,400.16/x
  3. Step 3: Cross multiply
    41,108.64x = 61,669.36 × 13,400.16
  4. Step 4: Simplify right side
    41,108.64x = 826,379,291.10
  5. Step 5: Solve for x
    x = 826,379,291.10/41,108.64
  6. Step 6: Final answer
    x = 20,102.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.