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Finding the Fourth Proportional to 90,351.48, 135,682.74 and 48,827.64

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Solution

The fourth proportional to 90,351.48, 135,682.74 and 48,827.64 is: 73,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,351.48 : 135,682.74 = 48,827.64 : x
  2. Step 2: Convert to fraction form
    90,351.48/135,682.74 = 48,827.64/x
  3. Step 3: Cross multiply
    90,351.48x = 135,682.74 × 48,827.64
  4. Step 4: Simplify right side
    90,351.48x = 6,625,067,982.93
  5. Step 5: Solve for x
    x = 6,625,067,982.93/90,351.48
  6. Step 6: Final answer
    x = 73,325.51

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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.