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Finding the Fourth Proportional to 129,742.84, 194,622.50 and 54,849.03

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Solution

The fourth proportional to 129,742.84, 194,622.50 and 54,849.03 is: 82,277.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,742.84 : 194,622.50 = 54,849.03 : x
  2. Step 2: Convert to fraction form
    129,742.84/194,622.50 = 54,849.03/x
  3. Step 3: Cross multiply
    129,742.84x = 194,622.50 × 54,849.03
  4. Step 4: Simplify right side
    129,742.84x = 10,674,855,341.18
  5. Step 5: Solve for x
    x = 10,674,855,341.18/129,742.84
  6. Step 6: Final answer
    x = 82,277.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.