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Finding the Fourth Proportional to 100,441.62, 150,658.11 and 30,318.84

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Solution

The fourth proportional to 100,441.62, 150,658.11 and 30,318.84 is: 45,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,441.62 : 150,658.11 = 30,318.84 : x
  2. Step 2: Convert to fraction form
    100,441.62/150,658.11 = 30,318.84/x
  3. Step 3: Cross multiply
    100,441.62x = 150,658.11 × 30,318.84
  4. Step 4: Simplify right side
    100,441.62x = 4,567,779,810.46
  5. Step 5: Solve for x
    x = 4,567,779,810.46/100,441.62
  6. Step 6: Final answer
    x = 45,476.96

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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.