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Finding the Fourth Proportional to 90,180.58, 135,287.88 and 27,836.50

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Solution

The fourth proportional to 90,180.58, 135,287.88 and 27,836.50 is: 41,760.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,180.58 : 135,287.88 = 27,836.50 : x
  2. Step 2: Convert to fraction form
    90,180.58/135,287.88 = 27,836.50/x
  3. Step 3: Cross multiply
    90,180.58x = 135,287.88 × 27,836.50
  4. Step 4: Simplify right side
    90,180.58x = 3,765,941,071.62
  5. Step 5: Solve for x
    x = 3,765,941,071.62/90,180.58
  6. Step 6: Final answer
    x = 41,760.00

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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.