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Finding the Fourth Proportional to 54,095.30, 81,085.44 and 31,919.12

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Solution

The fourth proportional to 54,095.30, 81,085.44 and 31,919.12 is: 47,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,095.30 : 81,085.44 = 31,919.12 : x
  2. Step 2: Convert to fraction form
    54,095.30/81,085.44 = 31,919.12/x
  3. Step 3: Cross multiply
    54,095.30x = 81,085.44 × 31,919.12
  4. Step 4: Simplify right side
    54,095.30x = 2,588,175,889.61
  5. Step 5: Solve for x
    x = 2,588,175,889.61/54,095.30
  6. Step 6: Final answer
    x = 47,844.75

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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.