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Finding the Fourth Proportional to 55,451.55, 76,523.06 and 31,578.24

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Solution

The fourth proportional to 55,451.55, 76,523.06 and 31,578.24 is: 43,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,451.55 : 76,523.06 = 31,578.24 : x
  2. Step 2: Convert to fraction form
    55,451.55/76,523.06 = 31,578.24/x
  3. Step 3: Cross multiply
    55,451.55x = 76,523.06 × 31,578.24
  4. Step 4: Simplify right side
    55,451.55x = 2,416,463,396.32
  5. Step 5: Solve for x
    x = 2,416,463,396.32/55,451.55
  6. Step 6: Final answer
    x = 43,577.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.