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Finding the Fourth Proportional to 54,126.44, 74,686.50 and 31,777.64

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Solution

The fourth proportional to 54,126.44, 74,686.50 and 31,777.64 is: 43,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,126.44 : 74,686.50 = 31,777.64 : x
  2. Step 2: Convert to fraction form
    54,126.44/74,686.50 = 31,777.64/x
  3. Step 3: Cross multiply
    54,126.44x = 74,686.50 × 31,777.64
  4. Step 4: Simplify right side
    54,126.44x = 2,373,360,709.86
  5. Step 5: Solve for x
    x = 2,373,360,709.86/54,126.44
  6. Step 6: Final answer
    x = 43,848.45

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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.