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Finding the Fourth Proportional to 106,215.66, 159,268.50 and 31,326.12

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Solution

The fourth proportional to 106,215.66, 159,268.50 and 31,326.12 is: 46,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,215.66 : 159,268.50 = 31,326.12 : x
  2. Step 2: Convert to fraction form
    106,215.66/159,268.50 = 31,326.12/x
  3. Step 3: Cross multiply
    106,215.66x = 159,268.50 × 31,326.12
  4. Step 4: Simplify right side
    106,215.66x = 4,989,264,143.22
  5. Step 5: Solve for x
    x = 4,989,264,143.22/106,215.66
  6. Step 6: Final answer
    x = 46,972.96

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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.