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Finding the Fourth Proportional to 54,098.10, 81,147.15 and 31,922.10

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Solution

The fourth proportional to 54,098.10, 81,147.15 and 31,922.10 is: 47,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,098.10 : 81,147.15 = 31,922.10 : x
  2. Step 2: Convert to fraction form
    54,098.10/81,147.15 = 31,922.10/x
  3. Step 3: Cross multiply
    54,098.10x = 81,147.15 × 31,922.10
  4. Step 4: Simplify right side
    54,098.10x = 2,590,387,437.02
  5. Step 5: Solve for x
    x = 2,590,387,437.02/54,098.10
  6. Step 6: Final answer
    x = 47,883.15

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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.