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Finding the Fourth Proportional to 54,961.76, 75,847.21 and 31,087.92

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Solution

The fourth proportional to 54,961.76, 75,847.21 and 31,087.92 is: 42,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,961.76 : 75,847.21 = 31,087.92 : x
  2. Step 2: Convert to fraction form
    54,961.76/75,847.21 = 31,087.92/x
  3. Step 3: Cross multiply
    54,961.76x = 75,847.21 × 31,087.92
  4. Step 4: Simplify right side
    54,961.76x = 2,357,931,996.70
  5. Step 5: Solve for x
    x = 2,357,931,996.70/54,961.76
  6. Step 6: Final answer
    x = 42,901.32

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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.