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Finding the Fourth Proportional to 100,486.49, 150,730.53 and 36,489.87

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Solution

The fourth proportional to 100,486.49, 150,730.53 and 36,489.87 is: 54,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,486.49 : 150,730.53 = 36,489.87 : x
  2. Step 2: Convert to fraction form
    100,486.49/150,730.53 = 36,489.87/x
  3. Step 3: Cross multiply
    100,486.49x = 150,730.53 × 36,489.87
  4. Step 4: Simplify right side
    100,486.49x = 5,500,137,444.73
  5. Step 5: Solve for x
    x = 5,500,137,444.73/100,486.49
  6. Step 6: Final answer
    x = 54,735.10

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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.