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Finding the Fourth Proportional to 90,084.66, 135,141.66 and 27,755.16

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Solution

The fourth proportional to 90,084.66, 135,141.66 and 27,755.16 is: 41,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,084.66 : 135,141.66 = 27,755.16 : x
  2. Step 2: Convert to fraction form
    90,084.66/135,141.66 = 27,755.16/x
  3. Step 3: Cross multiply
    90,084.66x = 135,141.66 × 27,755.16
  4. Step 4: Simplify right side
    90,084.66x = 3,750,878,395.97
  5. Step 5: Solve for x
    x = 3,750,878,395.97/90,084.66
  6. Step 6: Final answer
    x = 41,637.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.