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Finding the Fourth Proportional to 81,509.25, 122,274.81 and 34,773.06

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Solution

The fourth proportional to 81,509.25, 122,274.81 and 34,773.06 is: 52,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,509.25 : 122,274.81 = 34,773.06 : x
  2. Step 2: Convert to fraction form
    81,509.25/122,274.81 = 34,773.06/x
  3. Step 3: Cross multiply
    81,509.25x = 122,274.81 × 34,773.06
  4. Step 4: Simplify right side
    81,509.25x = 4,251,869,304.62
  5. Step 5: Solve for x
    x = 4,251,869,304.62/81,509.25
  6. Step 6: Final answer
    x = 52,164.26

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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.