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Finding the Fourth Proportional to 90,424, 135,664.62 and 40,546.90

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Solution

The fourth proportional to 90,424, 135,664.62 and 40,546.90 is: 60,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,424 : 135,664.62 = 40,546.90 : x
  2. Step 2: Convert to fraction form
    90,424/135,664.62 = 40,546.90/x
  3. Step 3: Cross multiply
    90,424x = 135,664.62 × 40,546.90
  4. Step 4: Simplify right side
    90,424x = 5,500,779,780.68
  5. Step 5: Solve for x
    x = 5,500,779,780.68/90,424
  6. Step 6: Final answer
    x = 60,833.18

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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.