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Finding the Fourth Proportional to 100,505.76, 150,780.51 and 30,383.25

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Solution

The fourth proportional to 100,505.76, 150,780.51 and 30,383.25 is: 45,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,505.76 : 150,780.51 = 30,383.25 : x
  2. Step 2: Convert to fraction form
    100,505.76/150,780.51 = 30,383.25/x
  3. Step 3: Cross multiply
    100,505.76x = 150,780.51 × 30,383.25
  4. Step 4: Simplify right side
    100,505.76x = 4,581,201,930.46
  5. Step 5: Solve for x
    x = 4,581,201,930.46/100,505.76
  6. Step 6: Final answer
    x = 45,581.49

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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.