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Finding the Fourth Proportional to 129,638.40, 194,457.60 and 109,593.60

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Solution

The fourth proportional to 129,638.40, 194,457.60 and 109,593.60 is: 164,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,638.40 : 194,457.60 = 109,593.60 : x
  2. Step 2: Convert to fraction form
    129,638.40/194,457.60 = 109,593.60/x
  3. Step 3: Cross multiply
    129,638.40x = 194,457.60 × 109,593.60
  4. Step 4: Simplify right side
    129,638.40x = 21,311,308,431.36
  5. Step 5: Solve for x
    x = 21,311,308,431.36/129,638.40
  6. Step 6: Final answer
    x = 164,390.40

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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.