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Finding the Fourth Proportional to 109,955.70, 164,933.55 and 100,114.20

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Solution

The fourth proportional to 109,955.70, 164,933.55 and 100,114.20 is: 150,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,955.70 : 164,933.55 = 100,114.20 : x
  2. Step 2: Convert to fraction form
    109,955.70/164,933.55 = 100,114.20/x
  3. Step 3: Cross multiply
    109,955.70x = 164,933.55 × 100,114.20
  4. Step 4: Simplify right side
    109,955.70x = 16,512,190,411.41
  5. Step 5: Solve for x
    x = 16,512,190,411.41/109,955.70
  6. Step 6: Final answer
    x = 150,171.30

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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.