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Finding the Fourth Proportional to 100,644.84, 150,993.18 and 38,281.32

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Solution

The fourth proportional to 100,644.84, 150,993.18 and 38,281.32 is: 57,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,644.84 : 150,993.18 = 38,281.32 : x
  2. Step 2: Convert to fraction form
    100,644.84/150,993.18 = 38,281.32/x
  3. Step 3: Cross multiply
    100,644.84x = 150,993.18 × 38,281.32
  4. Step 4: Simplify right side
    100,644.84x = 5,780,218,241.40
  5. Step 5: Solve for x
    x = 5,780,218,241.40/100,644.84
  6. Step 6: Final answer
    x = 57,431.84

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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.