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Finding the Fourth Proportional to 37,142.66, 55,713.78 and 12,182.51

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Solution

The fourth proportional to 37,142.66, 55,713.78 and 12,182.51 is: 18,273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.66 : 55,713.78 = 12,182.51 : x
  2. Step 2: Convert to fraction form
    37,142.66/55,713.78 = 12,182.51/x
  3. Step 3: Cross multiply
    37,142.66x = 55,713.78 × 12,182.51
  4. Step 4: Simplify right side
    37,142.66x = 678,733,403.42
  5. Step 5: Solve for x
    x = 678,733,403.42/37,142.66
  6. Step 6: Final answer
    x = 18,273.69

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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.