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Finding the Fourth Proportional to 109,409.84, 150,964.20 and 66,938.28

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Solution

The fourth proportional to 109,409.84, 150,964.20 and 66,938.28 is: 92,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409.84 : 150,964.20 = 66,938.28 : x
  2. Step 2: Convert to fraction form
    109,409.84/150,964.20 = 66,938.28/x
  3. Step 3: Cross multiply
    109,409.84x = 150,964.20 × 66,938.28
  4. Step 4: Simplify right side
    109,409.84x = 10,105,283,889.58
  5. Step 5: Solve for x
    x = 10,105,283,889.58/109,409.84
  6. Step 6: Final answer
    x = 92,361.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.