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Finding the Fourth Proportional to 90,276.95, 135,415.31 and 27,097.02

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Solution

The fourth proportional to 90,276.95, 135,415.31 and 27,097.02 is: 40,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,276.95 : 135,415.31 = 27,097.02 : x
  2. Step 2: Convert to fraction form
    90,276.95/135,415.31 = 27,097.02/x
  3. Step 3: Cross multiply
    90,276.95x = 135,415.31 × 27,097.02
  4. Step 4: Simplify right side
    90,276.95x = 3,669,351,363.38
  5. Step 5: Solve for x
    x = 3,669,351,363.38/90,276.95
  6. Step 6: Final answer
    x = 40,645.50

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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.