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Finding the Fourth Proportional to 100,506.01, 150,780.89 and 30,383.50

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Solution

The fourth proportional to 100,506.01, 150,780.89 and 30,383.50 is: 45,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,506.01 : 150,780.89 = 30,383.50 : x
  2. Step 2: Convert to fraction form
    100,506.01/150,780.89 = 30,383.50/x
  3. Step 3: Cross multiply
    100,506.01x = 150,780.89 × 30,383.50
  4. Step 4: Simplify right side
    100,506.01x = 4,581,251,019.40
  5. Step 5: Solve for x
    x = 4,581,251,019.40/100,506.01
  6. Step 6: Final answer
    x = 45,581.86

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1.5x scale

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.