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Finding the Fourth Proportional to 66,989.12, 100,484.16 and 20,241.28

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Solution

The fourth proportional to 66,989.12, 100,484.16 and 20,241.28 is: 30,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,989.12 : 100,484.16 = 20,241.28 : x
  2. Step 2: Convert to fraction form
    66,989.12/100,484.16 = 20,241.28/x
  3. Step 3: Cross multiply
    66,989.12x = 100,484.16 × 20,241.28
  4. Step 4: Simplify right side
    66,989.12x = 2,033,928,018.12
  5. Step 5: Solve for x
    x = 2,033,928,018.12/66,989.12
  6. Step 6: Final answer
    x = 30,362.07

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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.