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Finding the Fourth Proportional to 54,420.94, 75,102.87 and 31,774.42

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Solution

The fourth proportional to 54,420.94, 75,102.87 and 31,774.42 is: 43,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,420.94 : 75,102.87 = 31,774.42 : x
  2. Step 2: Convert to fraction form
    54,420.94/75,102.87 = 31,774.42/x
  3. Step 3: Cross multiply
    54,420.94x = 75,102.87 × 31,774.42
  4. Step 4: Simplify right side
    54,420.94x = 2,386,350,134.59
  5. Step 5: Solve for x
    x = 2,386,350,134.59/54,420.94
  6. Step 6: Final answer
    x = 43,849.85

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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.