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Finding the Fourth Proportional to 55,693.46, 76,857.11 and 31,820.06

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Solution

The fourth proportional to 55,693.46, 76,857.11 and 31,820.06 is: 43,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,693.46 : 76,857.11 = 31,820.06 : x
  2. Step 2: Convert to fraction form
    55,693.46/76,857.11 = 31,820.06/x
  3. Step 3: Cross multiply
    55,693.46x = 76,857.11 × 31,820.06
  4. Step 4: Simplify right side
    55,693.46x = 2,445,597,308.24
  5. Step 5: Solve for x
    x = 2,445,597,308.24/55,693.46
  6. Step 6: Final answer
    x = 43,911.75

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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.