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Finding the Fourth Proportional to 90,184.56, 135,276.84 and 40,902

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Solution

The fourth proportional to 90,184.56, 135,276.84 and 40,902 is: 61,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,184.56 : 135,276.84 = 40,902 : x
  2. Step 2: Convert to fraction form
    90,184.56/135,276.84 = 40,902/x
  3. Step 3: Cross multiply
    90,184.56x = 135,276.84 × 40,902
  4. Step 4: Simplify right side
    90,184.56x = 5,533,093,309.68
  5. Step 5: Solve for x
    x = 5,533,093,309.68/90,184.56
  6. Step 6: Final answer
    x = 61,353.00

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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.