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Finding the Fourth Proportional to 90,405.72, 135,626.76 and 31,243.68

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Solution

The fourth proportional to 90,405.72, 135,626.76 and 31,243.68 is: 46,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,405.72 : 135,626.76 = 31,243.68 : x
  2. Step 2: Convert to fraction form
    90,405.72/135,626.76 = 31,243.68/x
  3. Step 3: Cross multiply
    90,405.72x = 135,626.76 × 31,243.68
  4. Step 4: Simplify right side
    90,405.72x = 4,237,479,088.88
  5. Step 5: Solve for x
    x = 4,237,479,088.88/90,405.72
  6. Step 6: Final answer
    x = 46,871.80

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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.